GCD of 98, 928, 760, 564 Calculator

Given Input numbers are 98, 928, 760, 564

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 98, 928, 760, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 928, 760, 564 is 2.

Therefore, GCD of numbers 98, 928, 760, 564 is 2

Given Input Data is 98, 928, 760, 564

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

Prime Factorization of 98 is 2 x 7 x 7

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(98, 928) = 45472

GCD(98, 928) = ( 98 x 928 ) / 45472

GCD(98, 928) = 90944 / 45472

GCD(98, 928) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 760

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

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

GCD(2, 760) = 1520 / 760

GCD(2, 760) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 564

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

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

GCD(2, 564) = 1128 / 564

GCD(2, 564) = 2

GCD of 98, 928, 760, 564 is 2

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1. What is the GCD of 98, 928, 760, 564?

GCD of 98, 928, 760, 564 is 2

2. Where do I get the detailed procedure to find GCD of 98, 928, 760, 564?

You can find a detailed procedure to find GCD of 98, 928, 760, 564 on our page.

3. How to find GCD of 98, 928, 760, 564 on a calculator?

You can find the GCD of 98, 928, 760, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.