GCD of 60, 376, 712, 922 Calculator

Given Input numbers are 60, 376, 712, 922

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Greatest Common Divisior

We found the divisors of 60, 376, 712, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 376, 712, 922 is 2.

Therefore, GCD of numbers 60, 376, 712, 922 is 2

Given Input Data is 60, 376, 712, 922

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 922 is 2 x 461

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(60, 376) = 5640

GCD(60, 376) = ( 60 x 376 ) / 5640

GCD(60, 376) = 22560 / 5640

GCD(60, 376) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 712

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

LCM(4, 712) = 712

GCD(4, 712) = ( 4 x 712 ) / 712

GCD(4, 712) = 2848 / 712

GCD(4, 712) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 922

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

LCM(4, 922) = 1844

GCD(4, 922) = ( 4 x 922 ) / 1844

GCD(4, 922) = 3688 / 1844

GCD(4, 922) = 2

GCD of 60, 376, 712, 922 is 2

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• GCD of 16, 852, 246, 481
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1. What is the GCD of 60, 376, 712, 922?

GCD of 60, 376, 712, 922 is 2

2. Where do I get the detailed procedure to find GCD of 60, 376, 712, 922?

You can find a detailed procedure to find GCD of 60, 376, 712, 922 on our page.

3. How to find GCD of 60, 376, 712, 922 on a calculator?

You can find the GCD of 60, 376, 712, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.