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GCD of 672, 654, 590, 196 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, 654, 590, 196 quickly. Get the easiest ways to solve the greatest common divisor of 672, 654, 590, 196 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 654, 590, 196 with Factoring?

Given Input numbers are 672, 654, 590, 196

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 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196


GCD of numbers is the greatest common divisor

So, the GCD (672, 654, 590, 196) = 2.

Find GCD of 672, 654, 590, 196 using Prime Factorization

Given numbers are 672, 654, 590, 196

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 654 are 2 x 3 x 109

Prime factors of 590 are 2 x 5 x 59

Prime factors of 196 are 2 x 2 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 672, 654, 590, 196 is 2.

Steps to Calculate GCD of 672, 654, 590, 196 using LCM Formula

Given numbers are 672, 654, 590, 196

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

Apply this formula for all numbers.

Step1:

LCM(672, 654) = 73248

GCD(672, 654) = ( 672 x 654 ) / 73248

= 672 / 654

= 672


Step2:

LCM(6, 590) = 1770

GCD(6, 590) = ( 6 x 590 ) / 1770

= 6 / 590

= 6


Step3:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2


So, Greatest Common Divisor of 672, 654, 590, 196 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 654, 590, 196

Given numbers are 672, 654, 590, 196
The greatest common divisor of numbers 672, 654, 590, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 654, 590, 196 is 2.

FAQs on GCD of 672, 654, 590, 196 Calculator

1. What is the GCD of 672, 654, 590, 196?

GCD of given numbers 672, 654, 590, 196 is 2


2. How to calculate the greatest common divisor of 672, 654, 590, 196?

We can find the highest common divisor of 672, 654, 590, 196 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, 654, 590, 196 i.e 2.


3. How can I use the GCD of 672, 654, 590, 196Calculator?

Out the numbers 672, 654, 590, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.