GCD of 370, 109, 157, 648 Calculator

Given Input numbers are 370, 109, 157, 648

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

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 370, 109, 157, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 109, 157, 648 is 1.

Therefore, GCD of numbers 370, 109, 157, 648 is 1

Given Input Data is 370, 109, 157, 648

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 109 is 109

Prime Factorization of 157 is 157

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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(370, 109) = 40330

GCD(370, 109) = ( 370 x 109 ) / 40330

GCD(370, 109) = 40330 / 40330

GCD(370, 109) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 157

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

LCM(1, 157) = 157

GCD(1, 157) = ( 1 x 157 ) / 157

GCD(1, 157) = 157 / 157

GCD(1, 157) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 370, 109, 157, 648 is 1

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1. What is the GCD of 370, 109, 157, 648?

GCD of 370, 109, 157, 648 is 1

2. Where do I get the detailed procedure to find GCD of 370, 109, 157, 648?

You can find a detailed procedure to find GCD of 370, 109, 157, 648 on our page.

3. How to find GCD of 370, 109, 157, 648 on a calculator?

You can find the GCD of 370, 109, 157, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.