GCD of 440, 616, 79, 972 Calculator

Given Input numbers are 440, 616, 79, 972

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

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 440, 616, 79, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 616, 79, 972 is 1.

Therefore, GCD of numbers 440, 616, 79, 972 is 1

Given Input Data is 440, 616, 79, 972

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

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Prime Factorization of 79 is 79

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(440, 616) = 3080

GCD(440, 616) = ( 440 x 616 ) / 3080

GCD(440, 616) = 271040 / 3080

GCD(440, 616) = 88

Step2:

Here we consider the GCD from the above i.e. 88 as first number and the next as 79

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

LCM(88, 79) = 6952

GCD(88, 79) = ( 88 x 79 ) / 6952

GCD(88, 79) = 6952 / 6952

GCD(88, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 440, 616, 79, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 496, 54, 557
• GCD of 211, 544, 17, 663
• GCD of 841, 274, 71, 379
• GCD of 840, 286, 37, 204
• GCD of 811, 625, 92, 664

1. What is the GCD of 440, 616, 79, 972?

GCD of 440, 616, 79, 972 is 1

2. Where do I get the detailed procedure to find GCD of 440, 616, 79, 972?

You can find a detailed procedure to find GCD of 440, 616, 79, 972 on our page.

3. How to find GCD of 440, 616, 79, 972 on a calculator?

You can find the GCD of 440, 616, 79, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.