GCD of 973, 914, 131, 758 Calculator

Given Input numbers are 973, 914, 131, 758

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

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 914

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

1, 2, 457, 914

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 973, 914, 131, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 973, 914, 131, 758 is 1.

Therefore, GCD of numbers 973, 914, 131, 758 is 1

Given Input Data is 973, 914, 131, 758

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

Prime Factorization of 973 is 7 x 139

Prime Factorization of 914 is 2 x 457

Prime Factorization of 131 is 131

Prime Factorization of 758 is 2 x 379

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(973, 914) = 889322

GCD(973, 914) = ( 973 x 914 ) / 889322

GCD(973, 914) = 889322 / 889322

GCD(973, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 973, 914, 131, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 145, 100, 762
• GCD of 769, 992, 669, 870
• GCD of 262, 634, 839, 110
• GCD of 858, 905, 449, 954
• GCD of 956, 304, 902, 169

1. What is the GCD of 973, 914, 131, 758?

GCD of 973, 914, 131, 758 is 1

2. Where do I get the detailed procedure to find GCD of 973, 914, 131, 758?

You can find a detailed procedure to find GCD of 973, 914, 131, 758 on our page.

3. How to find GCD of 973, 914, 131, 758 on a calculator?

You can find the GCD of 973, 914, 131, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.