GCD of 922, 402, 674, 780 Calculator

Given Input numbers are 922, 402, 674, 780

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 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 922, 402, 674, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 402, 674, 780 is 2.

Therefore, GCD of numbers 922, 402, 674, 780 is 2

Given Input Data is 922, 402, 674, 780

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 674 is 2 x 337

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 402) = 185322

GCD(922, 402) = ( 922 x 402 ) / 185322

GCD(922, 402) = 370644 / 185322

GCD(922, 402) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 674

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

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

GCD(2, 674) = 1348 / 674

GCD(2, 674) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

GCD of 922, 402, 674, 780 is 2

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1. What is the GCD of 922, 402, 674, 780?

GCD of 922, 402, 674, 780 is 2

2. Where do I get the detailed procedure to find GCD of 922, 402, 674, 780?

You can find a detailed procedure to find GCD of 922, 402, 674, 780 on our page.

3. How to find GCD of 922, 402, 674, 780 on a calculator?

You can find the GCD of 922, 402, 674, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.