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GCD of 672, 816, 556, 948 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, 816, 556, 948 quickly. Get the easiest ways to solve the greatest common divisor of 672, 816, 556, 948 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 816, 556, 948 with Factoring?

Given Input numbers are 672, 816, 556, 948

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 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

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


GCD of numbers is the greatest common divisor

So, the GCD (672, 816, 556, 948) = 4.

Find GCD of 672, 816, 556, 948 using Prime Factorization

Given numbers are 672, 816, 556, 948

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 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 556 are 2 x 2 x 139

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

The highest common occurrence is 22

Therefore, GCD of 672, 816, 556, 948 is 4.

Steps to Calculate GCD of 672, 816, 556, 948 using LCM Formula

Given numbers are 672, 816, 556, 948

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

Apply this formula for all numbers.

Step1:

LCM(672, 816) = 11424

GCD(672, 816) = ( 672 x 816 ) / 11424

= 672 / 816

= 672


Step2:

LCM(48, 556) = 6672

GCD(48, 556) = ( 48 x 556 ) / 6672

= 48 / 556

= 48


Step3:

LCM(4, 948) = 948

GCD(4, 948) = ( 4 x 948 ) / 948

= 4 / 948

= 4


So, Greatest Common Divisor of 672, 816, 556, 948 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 816, 556, 948

Given numbers are 672, 816, 556, 948
The greatest common divisor of numbers 672, 816, 556, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 816, 556, 948 is 4.

FAQs on GCD of 672, 816, 556, 948 Calculator

1. What is the GCD of 672, 816, 556, 948?

GCD of given numbers 672, 816, 556, 948 is 4


2. How to calculate the greatest common divisor of 672, 816, 556, 948?

We can find the highest common divisor of 672, 816, 556, 948 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, 816, 556, 948 i.e 4.


3. How can I use the GCD of 672, 816, 556, 948Calculator?

Out the numbers 672, 816, 556, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.