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GCD of 289, 201, 782, 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 289, 201, 782, 136 quickly. Get the easiest ways to solve the greatest common divisor of 289, 201, 782, 136 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 289, 201, 782, 136 with Factoring?

Given Input numbers are 289, 201, 782, 136

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

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

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 (289, 201, 782, 136) = 1.

Find GCD of 289, 201, 782, 136 using Prime Factorization

Given numbers are 289, 201, 782, 136

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 201 are 3 x 67

Prime factors of 782 are 2 x 17 x 23

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 289, 201, 782, 136 using LCM Formula

Given numbers are 289, 201, 782, 136

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

Apply this formula for all numbers.

Step1:

LCM(289, 201) = 58089

GCD(289, 201) = ( 289 x 201 ) / 58089

= 289 / 201

= 289


Step2:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1


Step3:

LCM(1, 136) = 136

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

= 1 / 136

= 1


So, Greatest Common Divisor of 289, 201, 782, 136 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 289, 201, 782, 136

Given numbers are 289, 201, 782, 136
The greatest common divisor of numbers 289, 201, 782, 136 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 201, 782, 136 is 1.

FAQs on GCD of 289, 201, 782, 136 Calculator

1. What is the GCD of 289, 201, 782, 136?

GCD of given numbers 289, 201, 782, 136 is 1


2. How to calculate the greatest common divisor of 289, 201, 782, 136?

We can find the highest common divisor of 289, 201, 782, 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 289, 201, 782, 136 i.e 1.


3. How can I use the GCD of 289, 201, 782, 136Calculator?

Out the numbers 289, 201, 782, 136 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.