GCD of 121, 557, 72, 914 Calculator

Given Input numbers are 121, 557, 72, 914

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

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 121, 557, 72, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 121, 557, 72, 914 is 1.

Therefore, GCD of numbers 121, 557, 72, 914 is 1

Given Input Data is 121, 557, 72, 914

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

Prime Factorization of 121 is 11 x 11

Prime Factorization of 557 is 557

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 914 is 2 x 457

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(121, 557) = 67397

GCD(121, 557) = ( 121 x 557 ) / 67397

GCD(121, 557) = 67397 / 67397

GCD(121, 557) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 121, 557, 72, 914 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 392, 75, 598
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• GCD of 661, 906, 46, 721
• GCD of 157, 698, 91, 499
• GCD of 749, 900, 89, 154

1. What is the GCD of 121, 557, 72, 914?

GCD of 121, 557, 72, 914 is 1

2. Where do I get the detailed procedure to find GCD of 121, 557, 72, 914?

You can find a detailed procedure to find GCD of 121, 557, 72, 914 on our page.

3. How to find GCD of 121, 557, 72, 914 on a calculator?

You can find the GCD of 121, 557, 72, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.