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GCD of 412, 470, 689, 136 Calculator

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


Online GCD Calculator is useful to find the GCD of 412, 470, 689, 136 quickly. Get the easiest ways to solve the greatest common divisor of 412, 470, 689, 136 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 412, 470, 689, 136 with Factoring?

Given Input numbers are 412, 470, 689, 136

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

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136


GCD of numbers is the greatest common divisor

So, the GCD (412, 470, 689, 136) = 1.

Find GCD of 412, 470, 689, 136 using Prime Factorization

Given numbers are 412, 470, 689, 136

The list of prime factors of all numbers are

Prime factors of 412 are 2 x 2 x 103

Prime factors of 470 are 2 x 5 x 47

Prime factors of 689 are 13 x 53

Prime factors of 136 are 2 x 2 x 2 x 17

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

Steps to Calculate GCD of 412, 470, 689, 136 using LCM Formula

Given numbers are 412, 470, 689, 136

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

Apply this formula for all numbers.

Step1:

LCM(412, 470) = 96820

GCD(412, 470) = ( 412 x 470 ) / 96820

= 412 / 470

= 412


Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2


Step3:

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

= 1 / 136

= 1


So, Greatest Common Divisor of 412, 470, 689, 136 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 412, 470, 689, 136

Given numbers are 412, 470, 689, 136
The greatest common divisor of numbers 412, 470, 689, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 412, 470, 689, 136 is 1.

FAQs on GCD of 412, 470, 689, 136 Calculator

1. What is the GCD of 412, 470, 689, 136?

GCD of given numbers 412, 470, 689, 136 is 1


2. How to calculate the greatest common divisor of 412, 470, 689, 136?

We can find the highest common divisor of 412, 470, 689, 136 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 412, 470, 689, 136 i.e 1.


3. How can I use the GCD of 412, 470, 689, 136Calculator?

Out the numbers 412, 470, 689, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.