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GCD of 567, 658, 49, 816 Calculator

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


Online GCD Calculator is useful to find the GCD of 567, 658, 49, 816 quickly. Get the easiest ways to solve the greatest common divisor of 567, 658, 49, 816 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 567, 658, 49, 816 with Factoring?

Given Input numbers are 567, 658, 49, 816

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49

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


GCD of numbers is the greatest common divisor

So, the GCD (567, 658, 49, 816) = 1.

Find GCD of 567, 658, 49, 816 using Prime Factorization

Given numbers are 567, 658, 49, 816

The list of prime factors of all numbers are

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 658 are 2 x 7 x 47

Prime factors of 49 are 7 x 7

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Steps to Calculate GCD of 567, 658, 49, 816 using LCM Formula

Given numbers are 567, 658, 49, 816

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

Apply this formula for all numbers.

Step1:

LCM(567, 658) = 53298

GCD(567, 658) = ( 567 x 658 ) / 53298

= 567 / 658

= 567


Step2:

LCM(7, 49) = 49

GCD(7, 49) = ( 7 x 49 ) / 49

= 7 / 49

= 7


Step3:

LCM(7, 816) = 5712

GCD(7, 816) = ( 7 x 816 ) / 5712

= 7 / 816

= 7


So, Greatest Common Divisor of 567, 658, 49, 816 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 567, 658, 49, 816

Given numbers are 567, 658, 49, 816
The greatest common divisor of numbers 567, 658, 49, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 658, 49, 816 is 1.

FAQs on GCD of 567, 658, 49, 816 Calculator

1. What is the GCD of 567, 658, 49, 816?

GCD of given numbers 567, 658, 49, 816 is 1


2. How to calculate the greatest common divisor of 567, 658, 49, 816?

We can find the highest common divisor of 567, 658, 49, 816 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 567, 658, 49, 816 i.e 1.


3. How can I use the GCD of 567, 658, 49, 816Calculator?

Out the numbers 567, 658, 49, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.