GCD of 289, 107, 137 Calculator

Given Input numbers are 289, 107, 137

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 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

GCD of numbers is the greatest common divisor

So, the GCD (289, 107, 137) = 1.

Given numbers are 289, 107, 137

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 107 are 107

Prime factors of 137 are 137

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

Given numbers are 289, 107, 137

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

Apply this formula for all numbers.

Step1:

LCM(289, 107) = 30923

GCD(289, 107) = ( 289 x 107 ) / 30923

= 289 / 107

= 289

Step2:

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

= 1 / 137

= 1

So, Greatest Common Divisor of 289, 107, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 938, 312, 122
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• GCD of 541, 246, 767
• GCD of 428, 517, 105

Given numbers are 289, 107, 137
The greatest common divisor of numbers 289, 107, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 107, 137 is 1.

1. What is the GCD of 289, 107, 137?

GCD of given numbers 289, 107, 137 is 1

2. How to calculate the greatest common divisor of 289, 107, 137?

We can find the highest common divisor of 289, 107, 137 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, 107, 137 i.e 1.

3. How can I use the GCD of 289, 107, 137Calculator?

Out the numbers 289, 107, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.