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GCD of 672, 458, 530, 980 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, 458, 530, 980 quickly. Get the easiest ways to solve the greatest common divisor of 672, 458, 530, 980 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 458, 530, 980 with Factoring?

Given Input numbers are 672, 458, 530, 980

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 458 :

The positive integer divisors of 458 that completely divides 458 are.

1, 2, 229, 458

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980


GCD of numbers is the greatest common divisor

So, the GCD (672, 458, 530, 980) = 2.

Find GCD of 672, 458, 530, 980 using Prime Factorization

Given numbers are 672, 458, 530, 980

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 458 are 2 x 229

Prime factors of 530 are 2 x 5 x 53

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 21

Therefore, GCD of 672, 458, 530, 980 is 2.

Steps to Calculate GCD of 672, 458, 530, 980 using LCM Formula

Given numbers are 672, 458, 530, 980

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

Apply this formula for all numbers.

Step1:

LCM(672, 458) = 153888

GCD(672, 458) = ( 672 x 458 ) / 153888

= 672 / 458

= 672


Step2:

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

= 2 / 530

= 2


Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2


So, Greatest Common Divisor of 672, 458, 530, 980 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 458, 530, 980

Given numbers are 672, 458, 530, 980
The greatest common divisor of numbers 672, 458, 530, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 458, 530, 980 is 2.

FAQs on GCD of 672, 458, 530, 980 Calculator

1. What is the GCD of 672, 458, 530, 980?

GCD of given numbers 672, 458, 530, 980 is 2


2. How to calculate the greatest common divisor of 672, 458, 530, 980?

We can find the highest common divisor of 672, 458, 530, 980 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, 458, 530, 980 i.e 2.


3. How can I use the GCD of 672, 458, 530, 980Calculator?

Out the numbers 672, 458, 530, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.