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GCD of 938, 422, 104, 528 Calculator

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


Online GCD Calculator is useful to find the GCD of 938, 422, 104, 528 quickly. Get the easiest ways to solve the greatest common divisor of 938, 422, 104, 528 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 938, 422, 104, 528 with Factoring?

Given Input numbers are 938, 422, 104, 528

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 104 :

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

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

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528


GCD of numbers is the greatest common divisor

So, the GCD (938, 422, 104, 528) = 2.

Find GCD of 938, 422, 104, 528 using Prime Factorization

Given numbers are 938, 422, 104, 528

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 422 are 2 x 211

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

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 21

Therefore, GCD of 938, 422, 104, 528 is 2.

Steps to Calculate GCD of 938, 422, 104, 528 using LCM Formula

Given numbers are 938, 422, 104, 528

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

Apply this formula for all numbers.

Step1:

LCM(938, 422) = 197918

GCD(938, 422) = ( 938 x 422 ) / 197918

= 938 / 422

= 938


Step2:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2


Step3:

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

= 2 / 528

= 2


So, Greatest Common Divisor of 938, 422, 104, 528 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 938, 422, 104, 528

Given numbers are 938, 422, 104, 528
The greatest common divisor of numbers 938, 422, 104, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 422, 104, 528 is 2.

FAQs on GCD of 938, 422, 104, 528 Calculator

1. What is the GCD of 938, 422, 104, 528?

GCD of given numbers 938, 422, 104, 528 is 2


2. How to calculate the greatest common divisor of 938, 422, 104, 528?

We can find the highest common divisor of 938, 422, 104, 528 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 938, 422, 104, 528 i.e 2.


3. How can I use the GCD of 938, 422, 104, 528Calculator?

Out the numbers 938, 422, 104, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.