Largest number that divides 679 and 599 leaving remainder 4 is....?
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Answer:
5 is the number
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Step-by-step explanation:
According to the question
remainder is 4
Well 1st of subtract 4 from both numbers 679 and 599
679 - 4 = 675
599 - 4 = 595
We get two new numbers 675 and 595
Well now find the HCF of these two new numbers.
HCF of 675 and 595:
Prime factors of 675: 3 × 3 × 3 × 5 × 5
Prime factors of 595: 5 × 7 × 17
Common between both: 5
Well HCF of 675 and 595 is 5
Well
∴ 5 is the number which will divide 679 and 599 leaving remainder 4 in each case.
Verifiy
5 | 679 (135
5
_____
17
15
_____
29
25
_____
4 Remainder
Now 599 ÷ 5
5 | 599 (119
5
____
9
5
____
49
45
____
4 Remainder
❤All the best❤
@RayyanKashan
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