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GCD of 952, 828, 408, 291 Calculator

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


Online GCD Calculator is useful to find the GCD of 952, 828, 408, 291 quickly. Get the easiest ways to solve the greatest common divisor of 952, 828, 408, 291 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 952, 828, 408, 291 with Factoring?

Given Input numbers are 952, 828, 408, 291

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

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291


GCD of numbers is the greatest common divisor

So, the GCD (952, 828, 408, 291) = 1.

Find GCD of 952, 828, 408, 291 using Prime Factorization

Given numbers are 952, 828, 408, 291

The list of prime factors of all numbers are

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

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 291 are 3 x 97

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

Steps to Calculate GCD of 952, 828, 408, 291 using LCM Formula

Given numbers are 952, 828, 408, 291

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

Apply this formula for all numbers.

Step1:

LCM(952, 828) = 197064

GCD(952, 828) = ( 952 x 828 ) / 197064

= 952 / 828

= 952


Step2:

LCM(4, 408) = 408

GCD(4, 408) = ( 4 x 408 ) / 408

= 4 / 408

= 4


Step3:

LCM(4, 291) = 1164

GCD(4, 291) = ( 4 x 291 ) / 1164

= 4 / 291

= 4


So, Greatest Common Divisor of 952, 828, 408, 291 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 952, 828, 408, 291

Given numbers are 952, 828, 408, 291
The greatest common divisor of numbers 952, 828, 408, 291 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 828, 408, 291 is 1.

FAQs on GCD of 952, 828, 408, 291 Calculator

1. What is the GCD of 952, 828, 408, 291?

GCD of given numbers 952, 828, 408, 291 is 1


2. How to calculate the greatest common divisor of 952, 828, 408, 291?

We can find the highest common divisor of 952, 828, 408, 291 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 952, 828, 408, 291 i.e 1.


3. How can I use the GCD of 952, 828, 408, 291Calculator?

Out the numbers 952, 828, 408, 291 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.