GCD of 974, 532, 66, 854 Calculator

Given Input numbers are 974, 532, 66, 854

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 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Greatest Common Divisior

We found the divisors of 974, 532, 66, 854 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 532, 66, 854 is 2.

Therefore, GCD of numbers 974, 532, 66, 854 is 2

Given Input Data is 974, 532, 66, 854

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 854 is 2 x 7 x 61

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, 532) = 259084

GCD(974, 532) = ( 974 x 532 ) / 259084

GCD(974, 532) = 518168 / 259084

GCD(974, 532) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 66

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

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

GCD(2, 66) = 132 / 66

GCD(2, 66) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 854

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

LCM(2, 854) = 854

GCD(2, 854) = ( 2 x 854 ) / 854

GCD(2, 854) = 1708 / 854

GCD(2, 854) = 2

GCD of 974, 532, 66, 854 is 2

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1. What is the GCD of 974, 532, 66, 854?

GCD of 974, 532, 66, 854 is 2

2. Where do I get the detailed procedure to find GCD of 974, 532, 66, 854?

You can find a detailed procedure to find GCD of 974, 532, 66, 854 on our page.

3. How to find GCD of 974, 532, 66, 854 on a calculator?

You can find the GCD of 974, 532, 66, 854 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.