GCD of 420, 942, 925, 354 Calculator

Given Input numbers are 420, 942, 925, 354

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Greatest Common Divisior

We found the divisors of 420, 942, 925, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 942, 925, 354 is 1.

Therefore, GCD of numbers 420, 942, 925, 354 is 1

Given Input Data is 420, 942, 925, 354

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 354 is 2 x 3 x 59

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(420, 942) = 65940

GCD(420, 942) = ( 420 x 942 ) / 65940

GCD(420, 942) = 395640 / 65940

GCD(420, 942) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 925

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

LCM(6, 925) = 5550

GCD(6, 925) = ( 6 x 925 ) / 5550

GCD(6, 925) = 5550 / 5550

GCD(6, 925) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 354

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

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

GCD(1, 354) = 354 / 354

GCD(1, 354) = 1

GCD of 420, 942, 925, 354 is 1

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1. What is the GCD of 420, 942, 925, 354?

GCD of 420, 942, 925, 354 is 1

2. Where do I get the detailed procedure to find GCD of 420, 942, 925, 354?

You can find a detailed procedure to find GCD of 420, 942, 925, 354 on our page.

3. How to find GCD of 420, 942, 925, 354 on a calculator?

You can find the GCD of 420, 942, 925, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.