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GCD of 121, 748, 264, 451 Calculator

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


Online GCD Calculator is useful to find the GCD of 121, 748, 264, 451 quickly. Get the easiest ways to solve the greatest common divisor of 121, 748, 264, 451 i.e 11 in different methods as follows.

GCD of

How to Find GCD of Numbers 121, 748, 264, 451 with Factoring?

Given Input numbers are 121, 748, 264, 451

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

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 451 :

The positive integer divisors of 451 that completely divides 451 are.

1, 11, 41, 451


GCD of numbers is the greatest common divisor

So, the GCD (121, 748, 264, 451) = 11.

Find GCD of 121, 748, 264, 451 using Prime Factorization

Given numbers are 121, 748, 264, 451

The list of prime factors of all numbers are

Prime factors of 121 are 11 x 11

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 451 are 11 x 41

The highest common occurrence is 111

Therefore, GCD of 121, 748, 264, 451 is 11.

Steps to Calculate GCD of 121, 748, 264, 451 using LCM Formula

Given numbers are 121, 748, 264, 451

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

Apply this formula for all numbers.

Step1:

LCM(121, 748) = 8228

GCD(121, 748) = ( 121 x 748 ) / 8228

= 121 / 748

= 121


Step2:

LCM(11, 264) = 264

GCD(11, 264) = ( 11 x 264 ) / 264

= 11 / 264

= 11


Step3:

LCM(11, 451) = 451

GCD(11, 451) = ( 11 x 451 ) / 451

= 11 / 451

= 11


So, Greatest Common Divisor of 121, 748, 264, 451 is 11

GCD of Numbers Calculation Examples

Greatest Common Divisor of 121, 748, 264, 451

Given numbers are 121, 748, 264, 451
The greatest common divisor of numbers 121, 748, 264, 451 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 121, 748, 264, 451 is 11.

FAQs on GCD of 121, 748, 264, 451 Calculator

1. What is the GCD of 121, 748, 264, 451?

GCD of given numbers 121, 748, 264, 451 is 11


2. How to calculate the greatest common divisor of 121, 748, 264, 451?

We can find the highest common divisor of 121, 748, 264, 451 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 121, 748, 264, 451 i.e 11.


3. How can I use the GCD of 121, 748, 264, 451Calculator?

Out the numbers 121, 748, 264, 451 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.