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GCD of 682, 252, 391, 105 Calculator

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


Online GCD Calculator is useful to find the GCD of 682, 252, 391, 105 quickly. Get the easiest ways to solve the greatest common divisor of 682, 252, 391, 105 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 682, 252, 391, 105 with Factoring?

Given Input numbers are 682, 252, 391, 105

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

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 105 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (682, 252, 391, 105) = 1.

Find GCD of 682, 252, 391, 105 using Prime Factorization

Given numbers are 682, 252, 391, 105

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 391 are 17 x 23

Prime factors of 105 are 3 x 5 x 7

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

Steps to Calculate GCD of 682, 252, 391, 105 using LCM Formula

Given numbers are 682, 252, 391, 105

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

Apply this formula for all numbers.

Step1:

LCM(682, 252) = 85932

GCD(682, 252) = ( 682 x 252 ) / 85932

= 682 / 252

= 682


Step2:

LCM(2, 391) = 782

GCD(2, 391) = ( 2 x 391 ) / 782

= 2 / 391

= 2


Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1


So, Greatest Common Divisor of 682, 252, 391, 105 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 682, 252, 391, 105

Given numbers are 682, 252, 391, 105
The greatest common divisor of numbers 682, 252, 391, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 252, 391, 105 is 1.

FAQs on GCD of 682, 252, 391, 105 Calculator

1. What is the GCD of 682, 252, 391, 105?

GCD of given numbers 682, 252, 391, 105 is 1


2. How to calculate the greatest common divisor of 682, 252, 391, 105?

We can find the highest common divisor of 682, 252, 391, 105 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 682, 252, 391, 105 i.e 1.


3. How can I use the GCD of 682, 252, 391, 105Calculator?

Out the numbers 682, 252, 391, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.