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GCD of 716, 838, 675, 164 Calculator

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


Online GCD Calculator is useful to find the GCD of 716, 838, 675, 164 quickly. Get the easiest ways to solve the greatest common divisor of 716, 838, 675, 164 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 716, 838, 675, 164 with Factoring?

Given Input numbers are 716, 838, 675, 164

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164


GCD of numbers is the greatest common divisor

So, the GCD (716, 838, 675, 164) = 1.

Find GCD of 716, 838, 675, 164 using Prime Factorization

Given numbers are 716, 838, 675, 164

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 838 are 2 x 419

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 164 are 2 x 2 x 41

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

Steps to Calculate GCD of 716, 838, 675, 164 using LCM Formula

Given numbers are 716, 838, 675, 164

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

Apply this formula for all numbers.

Step1:

LCM(716, 838) = 300004

GCD(716, 838) = ( 716 x 838 ) / 300004

= 716 / 838

= 716


Step2:

LCM(2, 675) = 1350

GCD(2, 675) = ( 2 x 675 ) / 1350

= 2 / 675

= 2


Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1


So, Greatest Common Divisor of 716, 838, 675, 164 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 716, 838, 675, 164

Given numbers are 716, 838, 675, 164
The greatest common divisor of numbers 716, 838, 675, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 838, 675, 164 is 1.

FAQs on GCD of 716, 838, 675, 164 Calculator

1. What is the GCD of 716, 838, 675, 164?

GCD of given numbers 716, 838, 675, 164 is 1


2. How to calculate the greatest common divisor of 716, 838, 675, 164?

We can find the highest common divisor of 716, 838, 675, 164 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 716, 838, 675, 164 i.e 1.


3. How can I use the GCD of 716, 838, 675, 164Calculator?

Out the numbers 716, 838, 675, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.