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GCD of 948, 368, 224, 672 Calculator

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


Online GCD Calculator is useful to find the GCD of 948, 368, 224, 672 quickly. Get the easiest ways to solve the greatest common divisor of 948, 368, 224, 672 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 948, 368, 224, 672 with Factoring?

Given Input numbers are 948, 368, 224, 672

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

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 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


GCD of numbers is the greatest common divisor

So, the GCD (948, 368, 224, 672) = 4.

Find GCD of 948, 368, 224, 672 using Prime Factorization

Given numbers are 948, 368, 224, 672

The list of prime factors of all numbers are

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

The highest common occurrence is 22

Therefore, GCD of 948, 368, 224, 672 is 4.

Steps to Calculate GCD of 948, 368, 224, 672 using LCM Formula

Given numbers are 948, 368, 224, 672

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

Apply this formula for all numbers.

Step1:

LCM(948, 368) = 87216

GCD(948, 368) = ( 948 x 368 ) / 87216

= 948 / 368

= 948


Step2:

LCM(4, 224) = 224

GCD(4, 224) = ( 4 x 224 ) / 224

= 4 / 224

= 4


Step3:

LCM(4, 672) = 672

GCD(4, 672) = ( 4 x 672 ) / 672

= 4 / 672

= 4


So, Greatest Common Divisor of 948, 368, 224, 672 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 948, 368, 224, 672

Given numbers are 948, 368, 224, 672
The greatest common divisor of numbers 948, 368, 224, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 368, 224, 672 is 4.

FAQs on GCD of 948, 368, 224, 672 Calculator

1. What is the GCD of 948, 368, 224, 672?

GCD of given numbers 948, 368, 224, 672 is 4


2. How to calculate the greatest common divisor of 948, 368, 224, 672?

We can find the highest common divisor of 948, 368, 224, 672 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 948, 368, 224, 672 i.e 4.


3. How can I use the GCD of 948, 368, 224, 672Calculator?

Out the numbers 948, 368, 224, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.