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GCD of 452, 956, 364, 104 Calculator

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


Online GCD Calculator is useful to find the GCD of 452, 956, 364, 104 quickly. Get the easiest ways to solve the greatest common divisor of 452, 956, 364, 104 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 452, 956, 364, 104 with Factoring?

Given Input numbers are 452, 956, 364, 104

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

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104


GCD of numbers is the greatest common divisor

So, the GCD (452, 956, 364, 104) = 4.

Find GCD of 452, 956, 364, 104 using Prime Factorization

Given numbers are 452, 956, 364, 104

The list of prime factors of all numbers are

Prime factors of 452 are 2 x 2 x 113

Prime factors of 956 are 2 x 2 x 239

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 104 are 2 x 2 x 2 x 13

The highest common occurrence is 22

Therefore, GCD of 452, 956, 364, 104 is 4.

Steps to Calculate GCD of 452, 956, 364, 104 using LCM Formula

Given numbers are 452, 956, 364, 104

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

Apply this formula for all numbers.

Step1:

LCM(452, 956) = 108028

GCD(452, 956) = ( 452 x 956 ) / 108028

= 452 / 956

= 452


Step2:

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

= 4 / 364

= 4


Step3:

LCM(4, 104) = 104

GCD(4, 104) = ( 4 x 104 ) / 104

= 4 / 104

= 4


So, Greatest Common Divisor of 452, 956, 364, 104 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 452, 956, 364, 104

Given numbers are 452, 956, 364, 104
The greatest common divisor of numbers 452, 956, 364, 104 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 452, 956, 364, 104 is 4.

FAQs on GCD of 452, 956, 364, 104 Calculator

1. What is the GCD of 452, 956, 364, 104?

GCD of given numbers 452, 956, 364, 104 is 4


2. How to calculate the greatest common divisor of 452, 956, 364, 104?

We can find the highest common divisor of 452, 956, 364, 104 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 452, 956, 364, 104 i.e 4.


3. How can I use the GCD of 452, 956, 364, 104Calculator?

Out the numbers 452, 956, 364, 104 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.