GCD of 149, 867, 61, 656 Calculator

Given Input numbers are 149, 867, 61, 656

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

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 149, 867, 61, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 867, 61, 656 is 1.

Therefore, GCD of numbers 149, 867, 61, 656 is 1

Given Input Data is 149, 867, 61, 656

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

Prime Factorization of 149 is 149

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 61 is 61

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

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(149, 867) = 129183

GCD(149, 867) = ( 149 x 867 ) / 129183

GCD(149, 867) = 129183 / 129183

GCD(149, 867) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 61

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

LCM(1, 61) = 61

GCD(1, 61) = ( 1 x 61 ) / 61

GCD(1, 61) = 61 / 61

GCD(1, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 149, 867, 61, 656 is 1

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1. What is the GCD of 149, 867, 61, 656?

GCD of 149, 867, 61, 656 is 1

2. Where do I get the detailed procedure to find GCD of 149, 867, 61, 656?

You can find a detailed procedure to find GCD of 149, 867, 61, 656 on our page.

3. How to find GCD of 149, 867, 61, 656 on a calculator?

You can find the GCD of 149, 867, 61, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.