GCD of 922, 700, 77, 415 Calculator

Given Input numbers are 922, 700, 77, 415

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 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 922, 700, 77, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 700, 77, 415 is 1.

Therefore, GCD of numbers 922, 700, 77, 415 is 1

Given Input Data is 922, 700, 77, 415

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 415 is 5 x 83

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, 700) = 322700

GCD(922, 700) = ( 922 x 700 ) / 322700

GCD(922, 700) = 645400 / 322700

GCD(922, 700) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 415

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

LCM(1, 415) = 415

GCD(1, 415) = ( 1 x 415 ) / 415

GCD(1, 415) = 415 / 415

GCD(1, 415) = 1

GCD of 922, 700, 77, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 516, 34, 278
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• GCD of 782, 343, 18, 116

1. What is the GCD of 922, 700, 77, 415?

GCD of 922, 700, 77, 415 is 1

2. Where do I get the detailed procedure to find GCD of 922, 700, 77, 415?

You can find a detailed procedure to find GCD of 922, 700, 77, 415 on our page.

3. How to find GCD of 922, 700, 77, 415 on a calculator?

You can find the GCD of 922, 700, 77, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.