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GCD of 792, 420, 146, 251 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 792, 420, 146, 251 quickly. Get the easiest ways to solve the greatest common divisor of 792, 420, 146, 251 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 792, 420, 146, 251 with Factoring?

Given Input numbers are 792, 420, 146, 251

In the factoring method, we have to find the divisors of all numbers

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 251 :

The positive integer divisors of 251 that completely divides 251 are.

1, 251


GCD of numbers is the greatest common divisor

So, the GCD (792, 420, 146, 251) = 1.

Find GCD of 792, 420, 146, 251 using Prime Factorization

Given numbers are 792, 420, 146, 251

The list of prime factors of all numbers are

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 146 are 2 x 73

Prime factors of 251 are 251

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 792, 420, 146, 251 using LCM Formula

Given numbers are 792, 420, 146, 251

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(792, 420) = 27720

GCD(792, 420) = ( 792 x 420 ) / 27720

= 792 / 420

= 792


Step2:

LCM(12, 146) = 876

GCD(12, 146) = ( 12 x 146 ) / 876

= 12 / 146

= 12


Step3:

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

= 2 / 251

= 2


So, Greatest Common Divisor of 792, 420, 146, 251 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 792, 420, 146, 251

Given numbers are 792, 420, 146, 251
The greatest common divisor of numbers 792, 420, 146, 251 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 420, 146, 251 is 1.

FAQs on GCD of 792, 420, 146, 251 Calculator

1. What is the GCD of 792, 420, 146, 251?

GCD of given numbers 792, 420, 146, 251 is 1


2. How to calculate the greatest common divisor of 792, 420, 146, 251?

We can find the highest common divisor of 792, 420, 146, 251 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 792, 420, 146, 251 i.e 1.


3. How can I use the GCD of 792, 420, 146, 251Calculator?

Out the numbers 792, 420, 146, 251 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.