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GCD of 252, 833, 782, 120 Calculator

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


Online GCD Calculator is useful to find the GCD of 252, 833, 782, 120 quickly. Get the easiest ways to solve the greatest common divisor of 252, 833, 782, 120 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 252, 833, 782, 120 with Factoring?

Given Input numbers are 252, 833, 782, 120

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 833 :

The positive integer divisors of 833 that completely divides 833 are.

1, 7, 17, 49, 119, 833

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120


GCD of numbers is the greatest common divisor

So, the GCD (252, 833, 782, 120) = 1.

Find GCD of 252, 833, 782, 120 using Prime Factorization

Given numbers are 252, 833, 782, 120

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 833 are 7 x 7 x 17

Prime factors of 782 are 2 x 17 x 23

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Steps to Calculate GCD of 252, 833, 782, 120 using LCM Formula

Given numbers are 252, 833, 782, 120

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

Apply this formula for all numbers.

Step1:

LCM(252, 833) = 29988

GCD(252, 833) = ( 252 x 833 ) / 29988

= 252 / 833

= 252


Step2:

LCM(7, 782) = 5474

GCD(7, 782) = ( 7 x 782 ) / 5474

= 7 / 782

= 7


Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


So, Greatest Common Divisor of 252, 833, 782, 120 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 252, 833, 782, 120

Given numbers are 252, 833, 782, 120
The greatest common divisor of numbers 252, 833, 782, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 833, 782, 120 is 1.

FAQs on GCD of 252, 833, 782, 120 Calculator

1. What is the GCD of 252, 833, 782, 120?

GCD of given numbers 252, 833, 782, 120 is 1


2. How to calculate the greatest common divisor of 252, 833, 782, 120?

We can find the highest common divisor of 252, 833, 782, 120 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 252, 833, 782, 120 i.e 1.


3. How can I use the GCD of 252, 833, 782, 120Calculator?

Out the numbers 252, 833, 782, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.