GCD of 157, 305, 867, 975 Calculator

Given Input numbers are 157, 305, 867, 975

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

Divisors of 157

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

1, 157

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

Divisors of 867

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

1, 3, 17, 51, 289, 867

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Greatest Common Divisior

We found the divisors of 157, 305, 867, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 305, 867, 975 is 1.

Therefore, GCD of numbers 157, 305, 867, 975 is 1

Given Input Data is 157, 305, 867, 975

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

Prime Factorization of 157 is 157

Prime Factorization of 305 is 5 x 61

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 975 is 3 x 5 x 5 x 13

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(157, 305) = 47885

GCD(157, 305) = ( 157 x 305 ) / 47885

GCD(157, 305) = 47885 / 47885

GCD(157, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

GCD of 157, 305, 867, 975 is 1

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1. What is the GCD of 157, 305, 867, 975?

GCD of 157, 305, 867, 975 is 1

2. Where do I get the detailed procedure to find GCD of 157, 305, 867, 975?

You can find a detailed procedure to find GCD of 157, 305, 867, 975 on our page.

3. How to find GCD of 157, 305, 867, 975 on a calculator?

You can find the GCD of 157, 305, 867, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.