GCD of 974, 924, 610, 464 Calculator

Given Input numbers are 974, 924, 610, 464

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 974, 924, 610, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 924, 610, 464 is 2.

Therefore, GCD of numbers 974, 924, 610, 464 is 2

Given Input Data is 974, 924, 610, 464

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(974, 924) = 449988

GCD(974, 924) = ( 974 x 924 ) / 449988

GCD(974, 924) = 899976 / 449988

GCD(974, 924) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 974, 924, 610, 464 is 2

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1. What is the GCD of 974, 924, 610, 464?

GCD of 974, 924, 610, 464 is 2

2. Where do I get the detailed procedure to find GCD of 974, 924, 610, 464?

You can find a detailed procedure to find GCD of 974, 924, 610, 464 on our page.

3. How to find GCD of 974, 924, 610, 464 on a calculator?

You can find the GCD of 974, 924, 610, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.