GCD of 56, 352, 742, 647 Calculator

Given Input numbers are 56, 352, 742, 647

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Greatest Common Divisior

We found the divisors of 56, 352, 742, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 352, 742, 647 is 1.

Therefore, GCD of numbers 56, 352, 742, 647 is 1

Given Input Data is 56, 352, 742, 647

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 647 is 647

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(56, 352) = 2464

GCD(56, 352) = ( 56 x 352 ) / 2464

GCD(56, 352) = 19712 / 2464

GCD(56, 352) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 742

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(8, 742) = 2968

GCD(8, 742) = ( 8 x 742 ) / 2968

GCD(8, 742) = 5936 / 2968

GCD(8, 742) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 647

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 647) = 1294

GCD(2, 647) = ( 2 x 647 ) / 1294

GCD(2, 647) = 1294 / 1294

GCD(2, 647) = 1

GCD of 56, 352, 742, 647 is 1

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• GCD of 70, 419, 185, 757
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1. What is the GCD of 56, 352, 742, 647?

GCD of 56, 352, 742, 647 is 1

2. Where do I get the detailed procedure to find GCD of 56, 352, 742, 647?

You can find a detailed procedure to find GCD of 56, 352, 742, 647 on our page.

3. How to find GCD of 56, 352, 742, 647 on a calculator?

You can find the GCD of 56, 352, 742, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.