GCD of 498, 286, 107, 675 Calculator

Given Input numbers are 498, 286, 107, 675

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 286 :

The positive integer divisors of 286 that completely divides 286 are.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 107 :

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

1, 107

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

GCD of numbers is the greatest common divisor

So, the GCD (498, 286, 107, 675) = 1.

Given numbers are 498, 286, 107, 675

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 286 are 2 x 11 x 13

Prime factors of 107 are 107

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Given numbers are 498, 286, 107, 675

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

Apply this formula for all numbers.

Step1:

LCM(498, 286) = 71214

GCD(498, 286) = ( 498 x 286 ) / 71214

= 498 / 286

= 498

Step2:

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

= 2 / 107

= 2

Step3:

LCM(1, 675) = 675

GCD(1, 675) = ( 1 x 675 ) / 675

= 1 / 675

= 1

So, Greatest Common Divisor of 498, 286, 107, 675 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 302, 423, 503
• GCD of 110, 101, 871, 594
• GCD of 894, 136, 736, 929
• GCD of 289, 273, 389, 262
• GCD of 505, 649, 825, 265

Given numbers are 498, 286, 107, 675
The greatest common divisor of numbers 498, 286, 107, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 286, 107, 675 is 1.

1. What is the GCD of 498, 286, 107, 675?

GCD of given numbers 498, 286, 107, 675 is 1

2. How to calculate the greatest common divisor of 498, 286, 107, 675?

We can find the highest common divisor of 498, 286, 107, 675 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 498, 286, 107, 675 i.e 1.

3. How can I use the GCD of 498, 286, 107, 675Calculator?

Out the numbers 498, 286, 107, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.