GCD of 152, 720, 524, 274 Calculator

Given Input numbers are 152, 720, 524, 274

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 524

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

1, 2, 4, 131, 262, 524

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 152, 720, 524, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 720, 524, 274 is 2.

Therefore, GCD of numbers 152, 720, 524, 274 is 2

Given Input Data is 152, 720, 524, 274

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 274 is 2 x 137

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(152, 720) = 13680

GCD(152, 720) = ( 152 x 720 ) / 13680

GCD(152, 720) = 109440 / 13680

GCD(152, 720) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 524

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

LCM(8, 524) = 1048

GCD(8, 524) = ( 8 x 524 ) / 1048

GCD(8, 524) = 4192 / 1048

GCD(8, 524) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 274

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

LCM(4, 274) = 548

GCD(4, 274) = ( 4 x 274 ) / 548

GCD(4, 274) = 1096 / 548

GCD(4, 274) = 2

GCD of 152, 720, 524, 274 is 2

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1. What is the GCD of 152, 720, 524, 274?

GCD of 152, 720, 524, 274 is 2

2. Where do I get the detailed procedure to find GCD of 152, 720, 524, 274?

You can find a detailed procedure to find GCD of 152, 720, 524, 274 on our page.

3. How to find GCD of 152, 720, 524, 274 on a calculator?

You can find the GCD of 152, 720, 524, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.