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GCD of 672, 490, 946 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, 490, 946 quickly. Get the easiest ways to solve the greatest common divisor of 672, 490, 946 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 490, 946 with Factoring?

Given Input numbers are 672, 490, 946

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 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946


GCD of numbers is the greatest common divisor

So, the GCD (672, 490, 946) = 2.

Find GCD of 672, 490, 946 using Prime Factorization

Given numbers are 672, 490, 946

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 490 are 2 x 5 x 7 x 7

Prime factors of 946 are 2 x 11 x 43

The highest common occurrence is 21

Therefore, GCD of 672, 490, 946 is 2.

Steps to Calculate GCD of 672, 490, 946 using LCM Formula

Given numbers are 672, 490, 946

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

Apply this formula for all numbers.

Step1:

LCM(672, 490) = 23520

GCD(672, 490) = ( 672 x 490 ) / 23520

= 672 / 490

= 672


Step2:

LCM(14, 946) = 6622

GCD(14, 946) = ( 14 x 946 ) / 6622

= 14 / 946

= 14


So, Greatest Common Divisor of 672, 490, 946 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 490, 946

Given numbers are 672, 490, 946
The greatest common divisor of numbers 672, 490, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 490, 946 is 2.

FAQs on GCD of 672, 490, 946 Calculator

1. What is the GCD of 672, 490, 946?

GCD of given numbers 672, 490, 946 is 2


2. How to calculate the greatest common divisor of 672, 490, 946?

We can find the highest common divisor of 672, 490, 946 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, 490, 946 i.e 2.


3. How can I use the GCD of 672, 490, 946Calculator?

Out the numbers 672, 490, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.