GCD of 252, 768, 278, 574 Calculator

Given Input numbers are 252, 768, 278, 574

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 252, 768, 278, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 768, 278, 574 is 2.

Therefore, GCD of numbers 252, 768, 278, 574 is 2

Given Input Data is 252, 768, 278, 574

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 278 is 2 x 139

Prime Factorization of 574 is 2 x 7 x 41

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(252, 768) = 16128

GCD(252, 768) = ( 252 x 768 ) / 16128

GCD(252, 768) = 193536 / 16128

GCD(252, 768) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 278

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

LCM(12, 278) = 1668

GCD(12, 278) = ( 12 x 278 ) / 1668

GCD(12, 278) = 3336 / 1668

GCD(12, 278) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 574

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

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

GCD(2, 574) = 1148 / 574

GCD(2, 574) = 2

GCD of 252, 768, 278, 574 is 2

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• GCD of 138, 558, 956, 389
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1. What is the GCD of 252, 768, 278, 574?

GCD of 252, 768, 278, 574 is 2

2. Where do I get the detailed procedure to find GCD of 252, 768, 278, 574?

You can find a detailed procedure to find GCD of 252, 768, 278, 574 on our page.

3. How to find GCD of 252, 768, 278, 574 on a calculator?

You can find the GCD of 252, 768, 278, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.