GCD of 976, 654, 60, 874 Calculator

Given Input numbers are 976, 654, 60, 874

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

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 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 976, 654, 60, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 654, 60, 874 is 2.

Therefore, GCD of numbers 976, 654, 60, 874 is 2

Given Input Data is 976, 654, 60, 874

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 654 is 2 x 3 x 109

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

Prime Factorization of 874 is 2 x 19 x 23

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(976, 654) = 319152

GCD(976, 654) = ( 976 x 654 ) / 319152

GCD(976, 654) = 638304 / 319152

GCD(976, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 874

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

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

GCD(2, 874) = 1748 / 874

GCD(2, 874) = 2

GCD of 976, 654, 60, 874 is 2

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1. What is the GCD of 976, 654, 60, 874?

GCD of 976, 654, 60, 874 is 2

2. Where do I get the detailed procedure to find GCD of 976, 654, 60, 874?

You can find a detailed procedure to find GCD of 976, 654, 60, 874 on our page.

3. How to find GCD of 976, 654, 60, 874 on a calculator?

You can find the GCD of 976, 654, 60, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.