GCD of 298, 112, 635, 331 Calculator

Given Input numbers are 298, 112, 635, 331

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 635 :

The positive integer divisors of 635 that completely divides 635 are.

1, 5, 127, 635

Divisors of 331 :

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

1, 331

GCD of numbers is the greatest common divisor

So, the GCD (298, 112, 635, 331) = 1.

Given numbers are 298, 112, 635, 331

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 635 are 5 x 127

Prime factors of 331 are 331

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

Given numbers are 298, 112, 635, 331

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

Apply this formula for all numbers.

Step1:

LCM(298, 112) = 16688

GCD(298, 112) = ( 298 x 112 ) / 16688

= 298 / 112

= 298

Step2:

LCM(2, 635) = 1270

GCD(2, 635) = ( 2 x 635 ) / 1270

= 2 / 635

= 2

Step3:

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

= 1 / 331

= 1

So, Greatest Common Divisor of 298, 112, 635, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 492, 834, 772
• GCD of 572, 632, 810, 792
• GCD of 859, 265, 998, 130
• GCD of 446, 116, 942, 313
• GCD of 275, 582, 617, 834

Given numbers are 298, 112, 635, 331
The greatest common divisor of numbers 298, 112, 635, 331 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 112, 635, 331 is 1.

1. What is the GCD of 298, 112, 635, 331?

GCD of given numbers 298, 112, 635, 331 is 1

2. How to calculate the greatest common divisor of 298, 112, 635, 331?

We can find the highest common divisor of 298, 112, 635, 331 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 298, 112, 635, 331 i.e 1.

3. How can I use the GCD of 298, 112, 635, 331Calculator?

Out the numbers 298, 112, 635, 331 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.