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GCD of 826, 952, 476, 954 Calculator

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


Online GCD Calculator is useful to find the GCD of 826, 952, 476, 954 quickly. Get the easiest ways to solve the greatest common divisor of 826, 952, 476, 954 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 826, 952, 476, 954 with Factoring?

Given Input numbers are 826, 952, 476, 954

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

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

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 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954


GCD of numbers is the greatest common divisor

So, the GCD (826, 952, 476, 954) = 2.

Find GCD of 826, 952, 476, 954 using Prime Factorization

Given numbers are 826, 952, 476, 954

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

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

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 21

Therefore, GCD of 826, 952, 476, 954 is 2.

Steps to Calculate GCD of 826, 952, 476, 954 using LCM Formula

Given numbers are 826, 952, 476, 954

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

Apply this formula for all numbers.

Step1:

LCM(826, 952) = 56168

GCD(826, 952) = ( 826 x 952 ) / 56168

= 826 / 952

= 826


Step2:

LCM(14, 476) = 476

GCD(14, 476) = ( 14 x 476 ) / 476

= 14 / 476

= 14


Step3:

LCM(14, 954) = 6678

GCD(14, 954) = ( 14 x 954 ) / 6678

= 14 / 954

= 14


So, Greatest Common Divisor of 826, 952, 476, 954 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 826, 952, 476, 954

Given numbers are 826, 952, 476, 954
The greatest common divisor of numbers 826, 952, 476, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 952, 476, 954 is 2.

FAQs on GCD of 826, 952, 476, 954 Calculator

1. What is the GCD of 826, 952, 476, 954?

GCD of given numbers 826, 952, 476, 954 is 2


2. How to calculate the greatest common divisor of 826, 952, 476, 954?

We can find the highest common divisor of 826, 952, 476, 954 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 826, 952, 476, 954 i.e 2.


3. How can I use the GCD of 826, 952, 476, 954Calculator?

Out the numbers 826, 952, 476, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.