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GCD of 792, 772, 120, 248 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, 772, 120, 248 quickly. Get the easiest ways to solve the greatest common divisor of 792, 772, 120, 248 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 792, 772, 120, 248 with Factoring?

Given Input numbers are 792, 772, 120, 248

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248


GCD of numbers is the greatest common divisor

So, the GCD (792, 772, 120, 248) = 4.

Find GCD of 792, 772, 120, 248 using Prime Factorization

Given numbers are 792, 772, 120, 248

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 772 are 2 x 2 x 193

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

Prime factors of 248 are 2 x 2 x 2 x 31

The highest common occurrence is 22

Therefore, GCD of 792, 772, 120, 248 is 4.

Steps to Calculate GCD of 792, 772, 120, 248 using LCM Formula

Given numbers are 792, 772, 120, 248

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

Apply this formula for all numbers.

Step1:

LCM(792, 772) = 152856

GCD(792, 772) = ( 792 x 772 ) / 152856

= 792 / 772

= 792


Step2:

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

= 4 / 120

= 4


Step3:

LCM(4, 248) = 248

GCD(4, 248) = ( 4 x 248 ) / 248

= 4 / 248

= 4


So, Greatest Common Divisor of 792, 772, 120, 248 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 792, 772, 120, 248

Given numbers are 792, 772, 120, 248
The greatest common divisor of numbers 792, 772, 120, 248 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 792, 772, 120, 248 is 4.

FAQs on GCD of 792, 772, 120, 248 Calculator

1. What is the GCD of 792, 772, 120, 248?

GCD of given numbers 792, 772, 120, 248 is 4


2. How to calculate the greatest common divisor of 792, 772, 120, 248?

We can find the highest common divisor of 792, 772, 120, 248 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, 772, 120, 248 i.e 4.


3. How can I use the GCD of 792, 772, 120, 248Calculator?

Out the numbers 792, 772, 120, 248 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.