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Gordon Brown has said Shimon Peres will be mourned around the world.
The former prime minister said: "Shimon Peres will be remembered as a peacemaker - mourned on every continent by men and women committed to ending war.
"He understood the importance of negotiation because he understood the cost of war. He was not an idealist for peace out of vision alone but because he had lived through times of conflict.
"His personal journey through life challenges us all to think how best we can promote peace and reconciliation."
Former president of the US, Bill Clinton, has said he "will miss Shimon Peres" in a glowing tribute on Twitter.
He added Peres was his "brilliant and eloquent friend", and "his life was a blessing".
Former British Prime Minister Tony Blair has said Shimon Peres was "a political giant" and "someone I loved deeply".
Chief Rabbi Ephraim Mirvis has paid tribute to Shimon Peres and described the former president and prime minister as a "true giant amongst men".
"There will be countless tributes to Shimon Peres over the coming days, but I fear that few, if any, will adequately capture the palpable sense of collective grief felt across the world, nor do justice to the memory of a true giant amongst men.
"It is true that Shimon Peres was a great statesman. He was the noblest of soldiers, a born leader, a uniquely talented diplomat, an inspiring speaker and a relentless campaigner.
"But, more significantly than any of those things, Shimon Peres was the greatest living example of an unshakable belief in the pursuit of peace against all odds."
He added: "No matter what the future holds, your legacy lives on in the Jewish people who will never rest until we achieve our eternal dream of peace among the peoples of the world."
Rafi Walden, Shimon Peres' doctor and son-in-law, has said his legacy "will remain with us all".
US President Barack Obama has paid tribute to Shimon Peres as a man who "was rooted in his own unshakeable moral foundation and unflagging optimism".
Obama said Peres was "guided by a vision of the human dignity and progress that he knew people of goodwill could advance together".
Noting how he had fought for the nation's independence and served public office for seven decades, President Obama called Peres "the essence of Israel itself".
"A light has gone out, but the hope he gave us will burn forever".
Latest ITV News reports
President Obama has led tributes at the funeral of former Israeli prime minister and president Shimon Peres.
Former Israeli president Shimon Peres dies aged 93 following a stroke two weeks ago.