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GCD of 104, 764, 668, 922 Calculator

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


Online GCD Calculator is useful to find the GCD of 104, 764, 668, 922 quickly. Get the easiest ways to solve the greatest common divisor of 104, 764, 668, 922 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 104, 764, 668, 922 with Factoring?

Given Input numbers are 104, 764, 668, 922

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

Divisors of 104 :

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

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922


GCD of numbers is the greatest common divisor

So, the GCD (104, 764, 668, 922) = 2.

Find GCD of 104, 764, 668, 922 using Prime Factorization

Given numbers are 104, 764, 668, 922

The list of prime factors of all numbers are

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

Prime factors of 764 are 2 x 2 x 191

Prime factors of 668 are 2 x 2 x 167

Prime factors of 922 are 2 x 461

The highest common occurrence is 21

Therefore, GCD of 104, 764, 668, 922 is 2.

Steps to Calculate GCD of 104, 764, 668, 922 using LCM Formula

Given numbers are 104, 764, 668, 922

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

Apply this formula for all numbers.

Step1:

LCM(104, 764) = 19864

GCD(104, 764) = ( 104 x 764 ) / 19864

= 104 / 764

= 104


Step2:

LCM(4, 668) = 668

GCD(4, 668) = ( 4 x 668 ) / 668

= 4 / 668

= 4


Step3:

LCM(4, 922) = 1844

GCD(4, 922) = ( 4 x 922 ) / 1844

= 4 / 922

= 4


So, Greatest Common Divisor of 104, 764, 668, 922 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 104, 764, 668, 922

Given numbers are 104, 764, 668, 922
The greatest common divisor of numbers 104, 764, 668, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 764, 668, 922 is 2.

FAQs on GCD of 104, 764, 668, 922 Calculator

1. What is the GCD of 104, 764, 668, 922?

GCD of given numbers 104, 764, 668, 922 is 2


2. How to calculate the greatest common divisor of 104, 764, 668, 922?

We can find the highest common divisor of 104, 764, 668, 922 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 104, 764, 668, 922 i.e 2.


3. How can I use the GCD of 104, 764, 668, 922Calculator?

Out the numbers 104, 764, 668, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.