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GCD of 105, 708, 197, 836 Calculator

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


Online GCD Calculator is useful to find the GCD of 105, 708, 197, 836 quickly. Get the easiest ways to solve the greatest common divisor of 105, 708, 197, 836 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 105, 708, 197, 836 with Factoring?

Given Input numbers are 105, 708, 197, 836

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

Divisors of 836 :

The positive integer divisors of 836 that completely divides 836 are.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836


GCD of numbers is the greatest common divisor

So, the GCD (105, 708, 197, 836) = 1.

Find GCD of 105, 708, 197, 836 using Prime Factorization

Given numbers are 105, 708, 197, 836

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 197 are 197

Prime factors of 836 are 2 x 2 x 11 x 19

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

Steps to Calculate GCD of 105, 708, 197, 836 using LCM Formula

Given numbers are 105, 708, 197, 836

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

Apply this formula for all numbers.

Step1:

LCM(105, 708) = 24780

GCD(105, 708) = ( 105 x 708 ) / 24780

= 105 / 708

= 105


Step2:

LCM(3, 197) = 591

GCD(3, 197) = ( 3 x 197 ) / 591

= 3 / 197

= 3


Step3:

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

= 1 / 836

= 1


So, Greatest Common Divisor of 105, 708, 197, 836 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 105, 708, 197, 836

Given numbers are 105, 708, 197, 836
The greatest common divisor of numbers 105, 708, 197, 836 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 708, 197, 836 is 1.

FAQs on GCD of 105, 708, 197, 836 Calculator

1. What is the GCD of 105, 708, 197, 836?

GCD of given numbers 105, 708, 197, 836 is 1


2. How to calculate the greatest common divisor of 105, 708, 197, 836?

We can find the highest common divisor of 105, 708, 197, 836 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 105, 708, 197, 836 i.e 1.


3. How can I use the GCD of 105, 708, 197, 836Calculator?

Out the numbers 105, 708, 197, 836 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.