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GCD of 336, 772, 188, 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 336, 772, 188, 105 quickly. Get the easiest ways to solve the greatest common divisor of 336, 772, 188, 105 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 336, 772, 188, 105 with Factoring?

Given Input numbers are 336, 772, 188, 105

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

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 (336, 772, 188, 105) = 1.

Find GCD of 336, 772, 188, 105 using Prime Factorization

Given numbers are 336, 772, 188, 105

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 772 are 2 x 2 x 193

Prime factors of 188 are 2 x 2 x 47

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 336, 772, 188, 105 using LCM Formula

Given numbers are 336, 772, 188, 105

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

Apply this formula for all numbers.

Step1:

LCM(336, 772) = 64848

GCD(336, 772) = ( 336 x 772 ) / 64848

= 336 / 772

= 336


Step2:

LCM(4, 188) = 188

GCD(4, 188) = ( 4 x 188 ) / 188

= 4 / 188

= 4


Step3:

LCM(4, 105) = 420

GCD(4, 105) = ( 4 x 105 ) / 420

= 4 / 105

= 4


So, Greatest Common Divisor of 336, 772, 188, 105 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 336, 772, 188, 105

Given numbers are 336, 772, 188, 105
The greatest common divisor of numbers 336, 772, 188, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 772, 188, 105 is 1.

FAQs on GCD of 336, 772, 188, 105 Calculator

1. What is the GCD of 336, 772, 188, 105?

GCD of given numbers 336, 772, 188, 105 is 1


2. How to calculate the greatest common divisor of 336, 772, 188, 105?

We can find the highest common divisor of 336, 772, 188, 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 336, 772, 188, 105 i.e 1.


3. How can I use the GCD of 336, 772, 188, 105Calculator?

Out the numbers 336, 772, 188, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.