GCD of 954, 922, 575, 840 Calculator

Given Input numbers are 954, 922, 575, 840

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 922

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

1, 2, 461, 922

Divisors of 575

List of positive integer divisors of 575 that divides 575 without a remainder.

1, 5, 23, 25, 115, 575

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 954, 922, 575, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 922, 575, 840 is 1.

Therefore, GCD of numbers 954, 922, 575, 840 is 1

Given Input Data is 954, 922, 575, 840

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 922 is 2 x 461

Prime Factorization of 575 is 5 x 5 x 23

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(954, 922) = 439794

GCD(954, 922) = ( 954 x 922 ) / 439794

GCD(954, 922) = 879588 / 439794

GCD(954, 922) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 575

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

LCM(2, 575) = 1150

GCD(2, 575) = ( 2 x 575 ) / 1150

GCD(2, 575) = 1150 / 1150

GCD(2, 575) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 954, 922, 575, 840 is 1

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1. What is the GCD of 954, 922, 575, 840?

GCD of 954, 922, 575, 840 is 1

2. Where do I get the detailed procedure to find GCD of 954, 922, 575, 840?

You can find a detailed procedure to find GCD of 954, 922, 575, 840 on our page.

3. How to find GCD of 954, 922, 575, 840 on a calculator?

You can find the GCD of 954, 922, 575, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.