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GCD of 672, 224, 920, 147 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, 224, 920, 147 quickly. Get the easiest ways to solve the greatest common divisor of 672, 224, 920, 147 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 224, 920, 147 with Factoring?

Given Input numbers are 672, 224, 920, 147

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 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147


GCD of numbers is the greatest common divisor

So, the GCD (672, 224, 920, 147) = 1.

Find GCD of 672, 224, 920, 147 using Prime Factorization

Given numbers are 672, 224, 920, 147

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 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 147 are 3 x 7 x 7

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 672, 224, 920, 147 using LCM Formula

Given numbers are 672, 224, 920, 147

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

Apply this formula for all numbers.

Step1:

LCM(672, 224) = 672

GCD(672, 224) = ( 672 x 224 ) / 672

= 672 / 224

= 672


Step2:

LCM(224, 920) = 25760

GCD(224, 920) = ( 224 x 920 ) / 25760

= 224 / 920

= 224


Step3:

LCM(8, 147) = 1176

GCD(8, 147) = ( 8 x 147 ) / 1176

= 8 / 147

= 8


So, Greatest Common Divisor of 672, 224, 920, 147 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 224, 920, 147

Given numbers are 672, 224, 920, 147
The greatest common divisor of numbers 672, 224, 920, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 224, 920, 147 is 1.

FAQs on GCD of 672, 224, 920, 147 Calculator

1. What is the GCD of 672, 224, 920, 147?

GCD of given numbers 672, 224, 920, 147 is 1


2. How to calculate the greatest common divisor of 672, 224, 920, 147?

We can find the highest common divisor of 672, 224, 920, 147 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, 224, 920, 147 i.e 1.


3. How can I use the GCD of 672, 224, 920, 147Calculator?

Out the numbers 672, 224, 920, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.