Question

HCF of 155 , 341, 1302 by division method solution​

Answer 1

Answer:

H.C.Fof 155,341,1302 is 31

Answer 2

Answer:

HCF OF 155, 341, and 1302 is 31

Step-by-step explanation:

Highest Common Factor (HCF) can be found either by prime factorisation or long division method. Prime factorisation is a tedious method in case of finding HCF with large numbers.

So, long division is an easiest way for finding HCF with large numbers. So to find the HCF of 155, 341, and 1302 the following steps are to be followed:

1. Divide the second smaller number (here second smaller number is 341) by the smallest number (smallest one is 155).
2. Then the remainder(here the obtained remainder is 31) is treated as divisor and the divisor (here the divisor is 155) as dividend.
3. Divide the first divisor(341)  by the first remainder(31).
4. Repeat the same process until you get the remainder as 0. The divisor(here 31) which gives the remainder as 0 is the HCF of those two numbers.
5. To find the HCF of the third number (here the third number is 1302), use the HCF (31 is the HCF of first two numbers) that was founded by the long division of the first two numbers as dividend and the third number as the divisor.
6.  The Highest Common Factor you get in step 5 will be the HCF value of the three numbers.

On following the above steps, the obtained HCF of 155, 341, 1302 is 31.

The detailed long division by following steps is attached in the image below.

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