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GCD of 838, 672, 506, 668 Calculator

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


Online GCD Calculator is useful to find the GCD of 838, 672, 506, 668 quickly. Get the easiest ways to solve the greatest common divisor of 838, 672, 506, 668 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 838, 672, 506, 668 with Factoring?

Given Input numbers are 838, 672, 506, 668

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 668 :

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

1, 2, 4, 167, 334, 668


GCD of numbers is the greatest common divisor

So, the GCD (838, 672, 506, 668) = 2.

Find GCD of 838, 672, 506, 668 using Prime Factorization

Given numbers are 838, 672, 506, 668

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 506 are 2 x 11 x 23

Prime factors of 668 are 2 x 2 x 167

The highest common occurrence is 21

Therefore, GCD of 838, 672, 506, 668 is 2.

Steps to Calculate GCD of 838, 672, 506, 668 using LCM Formula

Given numbers are 838, 672, 506, 668

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

Apply this formula for all numbers.

Step1:

LCM(838, 672) = 281568

GCD(838, 672) = ( 838 x 672 ) / 281568

= 838 / 672

= 838


Step2:

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

= 2 / 506

= 2


Step3:

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

= 2 / 668

= 2


So, Greatest Common Divisor of 838, 672, 506, 668 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 838, 672, 506, 668

Given numbers are 838, 672, 506, 668
The greatest common divisor of numbers 838, 672, 506, 668 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 672, 506, 668 is 2.

FAQs on GCD of 838, 672, 506, 668 Calculator

1. What is the GCD of 838, 672, 506, 668?

GCD of given numbers 838, 672, 506, 668 is 2


2. How to calculate the greatest common divisor of 838, 672, 506, 668?

We can find the highest common divisor of 838, 672, 506, 668 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 838, 672, 506, 668 i.e 2.


3. How can I use the GCD of 838, 672, 506, 668Calculator?

Out the numbers 838, 672, 506, 668 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.