GCD of 874, 524, 964, 620 Calculator

Given Input numbers are 874, 524, 964, 620

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

Divisors of 874

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

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

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Greatest Common Divisior

We found the divisors of 874, 524, 964, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 524, 964, 620 is 2.

Therefore, GCD of numbers 874, 524, 964, 620 is 2

Given Input Data is 874, 524, 964, 620

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 620 is 2 x 2 x 5 x 31

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(874, 524) = 228988

GCD(874, 524) = ( 874 x 524 ) / 228988

GCD(874, 524) = 457976 / 228988

GCD(874, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 964

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

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

GCD(2, 964) = 1928 / 964

GCD(2, 964) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 620

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

LCM(2, 620) = 620

GCD(2, 620) = ( 2 x 620 ) / 620

GCD(2, 620) = 1240 / 620

GCD(2, 620) = 2

GCD of 874, 524, 964, 620 is 2

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1. What is the GCD of 874, 524, 964, 620?

GCD of 874, 524, 964, 620 is 2

2. Where do I get the detailed procedure to find GCD of 874, 524, 964, 620?

You can find a detailed procedure to find GCD of 874, 524, 964, 620 on our page.

3. How to find GCD of 874, 524, 964, 620 on a calculator?

You can find the GCD of 874, 524, 964, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.