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GCD of 399, 114, 676, 952 Calculator

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


Online GCD Calculator is useful to find the GCD of 399, 114, 676, 952 quickly. Get the easiest ways to solve the greatest common divisor of 399, 114, 676, 952 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 399, 114, 676, 952 with Factoring?

Given Input numbers are 399, 114, 676, 952

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

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952


GCD of numbers is the greatest common divisor

So, the GCD (399, 114, 676, 952) = 1.

Find GCD of 399, 114, 676, 952 using Prime Factorization

Given numbers are 399, 114, 676, 952

The list of prime factors of all numbers are

Prime factors of 399 are 3 x 7 x 19

Prime factors of 114 are 2 x 3 x 19

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

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

Steps to Calculate GCD of 399, 114, 676, 952 using LCM Formula

Given numbers are 399, 114, 676, 952

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

Apply this formula for all numbers.

Step1:

LCM(399, 114) = 798

GCD(399, 114) = ( 399 x 114 ) / 798

= 399 / 114

= 399


Step2:

LCM(57, 676) = 38532

GCD(57, 676) = ( 57 x 676 ) / 38532

= 57 / 676

= 57


Step3:

LCM(1, 952) = 952

GCD(1, 952) = ( 1 x 952 ) / 952

= 1 / 952

= 1


So, Greatest Common Divisor of 399, 114, 676, 952 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 399, 114, 676, 952

Given numbers are 399, 114, 676, 952
The greatest common divisor of numbers 399, 114, 676, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 399, 114, 676, 952 is 1.

FAQs on GCD of 399, 114, 676, 952 Calculator

1. What is the GCD of 399, 114, 676, 952?

GCD of given numbers 399, 114, 676, 952 is 1


2. How to calculate the greatest common divisor of 399, 114, 676, 952?

We can find the highest common divisor of 399, 114, 676, 952 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 399, 114, 676, 952 i.e 1.


3. How can I use the GCD of 399, 114, 676, 952Calculator?

Out the numbers 399, 114, 676, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.