GCD of 331, 456, 698 Calculator

Given Input numbers are 331, 456, 698

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

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (331, 456, 698) = 1.

Given numbers are 331, 456, 698

The list of prime factors of all numbers are

Prime factors of 331 are 331

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 698 are 2 x 349

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

Given numbers are 331, 456, 698

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

Apply this formula for all numbers.

Step1:

LCM(331, 456) = 150936

GCD(331, 456) = ( 331 x 456 ) / 150936

= 331 / 456

= 331

Step2:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 331, 456, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 809, 150
• GCD of 241, 386, 756
• GCD of 497, 579, 686
• GCD of 265, 883, 317
• GCD of 123, 734, 382

Given numbers are 331, 456, 698
The greatest common divisor of numbers 331, 456, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 331, 456, 698 is 1.

1. What is the GCD of 331, 456, 698?

GCD of given numbers 331, 456, 698 is 1

2. How to calculate the greatest common divisor of 331, 456, 698?

We can find the highest common divisor of 331, 456, 698 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 331, 456, 698 i.e 1.

3. How can I use the GCD of 331, 456, 698Calculator?

Out the numbers 331, 456, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.