find the largest number which divides 865 and 1360 leaving remainders 4 and 7 respectively
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Answers
Answer:
subtracting the remainder from the given number and finding the highest common factor give the greatest number that give us the largest number.
Step-by-step explanation:
thethe given numbers are 615 and 963 leaving 6 as remainder letters considered the number 615 first year it was given that 615 were divided by the greatest number leaves the remainder as 6 similarly the number 963 when divided by the greatest number leaves the remainder as 6 now considering 615 against the greatest number divides 615 and leaves the remainder as they that means we have to subtract 6 from 615.
615-6=609
now writing the factors for 609 we get,
609=3×7=39
the greatest number divides 963 and leaves the remainder as 6 that means we have to subtract 6 from 963.
963-6=957
now writing the factor for 957 we get,
957=3×11×29
to find the greatest number that divides the two number we hold to find HCF highest common factor.
609=3×7×29
957=3×11×29
HCF of 609 and 957 is 3 into 29 is equals to 87
note this is a direct problem with finding the greatest number by writing the factor the basic step here is to subtract the reminder and then the greatest number highest common factor give the greatest number and divides the given number.
123 Is The Largest Number Which Divides 865 And 1360 Leaving Remainder 4 And 7 Respectively.
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