GCD of 289, 113, 700 Calculator

Given Input numbers are 289, 113, 700

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 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (289, 113, 700) = 1.

Given numbers are 289, 113, 700

The list of prime factors of all numbers are

Prime factors of 289 are 17 x 17

Prime factors of 113 are 113

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 289, 113, 700

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

Apply this formula for all numbers.

Step1:

LCM(289, 113) = 32657

GCD(289, 113) = ( 289 x 113 ) / 32657

= 289 / 113

= 289

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 289, 113, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 356, 956
• GCD of 915, 234, 217
• GCD of 278, 340, 418
• GCD of 272, 747, 113
• GCD of 537, 544, 197

Given numbers are 289, 113, 700
The greatest common divisor of numbers 289, 113, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 289, 113, 700 is 1.

1. What is the GCD of 289, 113, 700?

GCD of given numbers 289, 113, 700 is 1

2. How to calculate the greatest common divisor of 289, 113, 700?

We can find the highest common divisor of 289, 113, 700 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, 113, 700 i.e 1.

3. How can I use the GCD of 289, 113, 700Calculator?

Out the numbers 289, 113, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.