GCD of 975, 692, 942 Calculator

Given Input numbers are 975, 692, 942

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

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 975, 692, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 975, 692, 942 is 1.

Therefore, GCD of numbers 975, 692, 942 is 1

Given Input Data is 975, 692, 942

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

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 942 is 2 x 3 x 157

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(975, 692) = 674700

GCD(975, 692) = ( 975 x 692 ) / 674700

GCD(975, 692) = 674700 / 674700

GCD(975, 692) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 975, 692, 942 is 1

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1. What is the GCD of 975, 692, 942?

GCD of 975, 692, 942 is 1

2. Where do I get the detailed procedure to find GCD of 975, 692, 942?

You can find a detailed procedure to find GCD of 975, 692, 942 on our page.

3. How to find GCD of 975, 692, 942 on a calculator?

You can find the GCD of 975, 692, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.