GCD of 280, 456, 88, 651 Calculator

Given Input numbers are 280, 456, 88, 651

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

Divisors of 280

List of positive integer divisors of 280 that divides 280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Greatest Common Divisior

We found the divisors of 280, 456, 88, 651 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 280, 456, 88, 651 is 1.

Therefore, GCD of numbers 280, 456, 88, 651 is 1

Given Input Data is 280, 456, 88, 651

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

Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 651 is 3 x 7 x 31

The above numbers do not have any common prime factor. So GCD is 1

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(280, 456) = 15960

GCD(280, 456) = ( 280 x 456 ) / 15960

GCD(280, 456) = 127680 / 15960

GCD(280, 456) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 88

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

LCM(8, 88) = 88

GCD(8, 88) = ( 8 x 88 ) / 88

GCD(8, 88) = 704 / 88

GCD(8, 88) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 651

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

LCM(8, 651) = 5208

GCD(8, 651) = ( 8 x 651 ) / 5208

GCD(8, 651) = 5208 / 5208

GCD(8, 651) = 1

GCD of 280, 456, 88, 651 is 1

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1. What is the GCD of 280, 456, 88, 651?

GCD of 280, 456, 88, 651 is 1

2. Where do I get the detailed procedure to find GCD of 280, 456, 88, 651?

You can find a detailed procedure to find GCD of 280, 456, 88, 651 on our page.

3. How to find GCD of 280, 456, 88, 651 on a calculator?

You can find the GCD of 280, 456, 88, 651 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.