GCD of 928, 620, 54, 976 Calculator

Given Input numbers are 928, 620, 54, 976

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

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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

Greatest Common Divisior

We found the divisors of 928, 620, 54, 976 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 928, 620, 54, 976 is 2.

Therefore, GCD of numbers 928, 620, 54, 976 is 2

Given Input Data is 928, 620, 54, 976

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

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 976 is 2 x 2 x 2 x 2 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(928, 620) = 143840

GCD(928, 620) = ( 928 x 620 ) / 143840

GCD(928, 620) = 575360 / 143840

GCD(928, 620) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 54

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

LCM(4, 54) = 108

GCD(4, 54) = ( 4 x 54 ) / 108

GCD(4, 54) = 216 / 108

GCD(4, 54) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 976

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

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

GCD(2, 976) = 1952 / 976

GCD(2, 976) = 2

GCD of 928, 620, 54, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 727, 479, 62, 640
• GCD of 369, 903, 54, 933
• GCD of 302, 117, 70, 235
• GCD of 976, 650, 47, 228
• GCD of 743, 220, 96, 839

1. What is the GCD of 928, 620, 54, 976?

GCD of 928, 620, 54, 976 is 2

2. Where do I get the detailed procedure to find GCD of 928, 620, 54, 976?

You can find a detailed procedure to find GCD of 928, 620, 54, 976 on our page.

3. How to find GCD of 928, 620, 54, 976 on a calculator?

You can find the GCD of 928, 620, 54, 976 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.