GCD of 922, 154, 953, 763 Calculator

Given Input numbers are 922, 154, 953, 763

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

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 922, 154, 953, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 154, 953, 763 is 1.

Therefore, GCD of numbers 922, 154, 953, 763 is 1

Given Input Data is 922, 154, 953, 763

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 953 is 953

Prime Factorization of 763 is 7 x 109

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(922, 154) = 70994

GCD(922, 154) = ( 922 x 154 ) / 70994

GCD(922, 154) = 141988 / 70994

GCD(922, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 953

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

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

GCD(2, 953) = 1906 / 1906

GCD(2, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 922, 154, 953, 763 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 749, 315, 358
• GCD of 257, 359, 126, 180
• GCD of 168, 107, 815, 364
• GCD of 381, 482, 708, 701
• GCD of 365, 953, 676, 261

1. What is the GCD of 922, 154, 953, 763?

GCD of 922, 154, 953, 763 is 1

2. Where do I get the detailed procedure to find GCD of 922, 154, 953, 763?

You can find a detailed procedure to find GCD of 922, 154, 953, 763 on our page.

3. How to find GCD of 922, 154, 953, 763 on a calculator?

You can find the GCD of 922, 154, 953, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.