GCD of 970, 122, 54, 692 Calculator

Given Input numbers are 970, 122, 54, 692

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 692

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

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 970, 122, 54, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 122, 54, 692 is 2.

Therefore, GCD of numbers 970, 122, 54, 692 is 2

Given Input Data is 970, 122, 54, 692

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 122 is 2 x 61

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 692 is 2 x 2 x 173

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(970, 122) = 59170

GCD(970, 122) = ( 970 x 122 ) / 59170

GCD(970, 122) = 118340 / 59170

GCD(970, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 54

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

LCM(2, 54) = 54

GCD(2, 54) = ( 2 x 54 ) / 54

GCD(2, 54) = 108 / 54

GCD(2, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 692

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

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

GCD(2, 692) = 1384 / 692

GCD(2, 692) = 2

GCD of 970, 122, 54, 692 is 2

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1. What is the GCD of 970, 122, 54, 692?

GCD of 970, 122, 54, 692 is 2

2. Where do I get the detailed procedure to find GCD of 970, 122, 54, 692?

You can find a detailed procedure to find GCD of 970, 122, 54, 692 on our page.

3. How to find GCD of 970, 122, 54, 692 on a calculator?

You can find the GCD of 970, 122, 54, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.