find the largest number which divides 303,455 and 757 leaving the reminder 3,5 and 7
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When the numbers are divided by a certain number , they leave reminders.
To find the largest number which divides them , we have to follow the following steps :-
1) Subtract the reminders from the given numbers.
303 - 3 = 300
455 - 5 = 450
757 - 7 = 750
2) The largest number which divides 303,455 and 757 leaving the reminder 3,5 and 7 = HCF of 300 , 450 and 750
3) Finding the HCF of 300 , 450 and 750
300 = 2 x 2 x 3 x 5 x 2
450 = 2 x 3 x 3 x 5 x 5
750 = 2 x 3 x 5 x 5 x 5
4) HCF = 2 x 5 x 5 = 50
Hence ,
50 is the largest number which divides 303,455 and 757 leaving the reminder 3,5 and 7
When the numbers are divided by a certain number , they leave reminders.
To find the largest number which divides them , we have to follow the following steps :-
1) Subtract the reminders from the given numbers.
303 - 3 = 300
455 - 5 = 450
757 - 7 = 750
2) The largest number which divides 303,455 and 757 leaving the reminder 3,5 and 7 = HCF of 300 , 450 and 750
3) Finding the HCF of 300 , 450 and 750
300 = 2 x 2 x 3 x 5 x 2
450 = 2 x 3 x 3 x 5 x 5
750 = 2 x 3 x 5 x 5 x 5
4) HCF = 2 x 5 x 5 = 50
Hence ,
50 is the largest number which divides 303,455 and 757 leaving the reminder 3,5 and 7
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