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GCD of 672, 954, 344, 202 Calculator

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


Online GCD Calculator is useful to find the GCD of 672, 954, 344, 202 quickly. Get the easiest ways to solve the greatest common divisor of 672, 954, 344, 202 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 954, 344, 202 with Factoring?

Given Input numbers are 672, 954, 344, 202

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

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 954 :

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

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202


GCD of numbers is the greatest common divisor

So, the GCD (672, 954, 344, 202) = 2.

Find GCD of 672, 954, 344, 202 using Prime Factorization

Given numbers are 672, 954, 344, 202

The list of prime factors of all numbers are

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

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

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 202 are 2 x 101

The highest common occurrence is 21

Therefore, GCD of 672, 954, 344, 202 is 2.

Steps to Calculate GCD of 672, 954, 344, 202 using LCM Formula

Given numbers are 672, 954, 344, 202

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

Apply this formula for all numbers.

Step1:

LCM(672, 954) = 106848

GCD(672, 954) = ( 672 x 954 ) / 106848

= 672 / 954

= 672


Step2:

LCM(6, 344) = 1032

GCD(6, 344) = ( 6 x 344 ) / 1032

= 6 / 344

= 6


Step3:

LCM(2, 202) = 202

GCD(2, 202) = ( 2 x 202 ) / 202

= 2 / 202

= 2


So, Greatest Common Divisor of 672, 954, 344, 202 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 954, 344, 202

Given numbers are 672, 954, 344, 202
The greatest common divisor of numbers 672, 954, 344, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 954, 344, 202 is 2.

FAQs on GCD of 672, 954, 344, 202 Calculator

1. What is the GCD of 672, 954, 344, 202?

GCD of given numbers 672, 954, 344, 202 is 2


2. How to calculate the greatest common divisor of 672, 954, 344, 202?

We can find the highest common divisor of 672, 954, 344, 202 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 672, 954, 344, 202 i.e 2.


3. How can I use the GCD of 672, 954, 344, 202Calculator?

Out the numbers 672, 954, 344, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.