GCD of 498, 249, 420, 659 Calculator

Given Input numbers are 498, 249, 420, 659

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 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

GCD of numbers is the greatest common divisor

So, the GCD (498, 249, 420, 659) = 1.

Given numbers are 498, 249, 420, 659

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 249 are 3 x 83

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 659 are 659

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

Given numbers are 498, 249, 420, 659

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

Apply this formula for all numbers.

Step1:

LCM(498, 249) = 498

GCD(498, 249) = ( 498 x 249 ) / 498

= 498 / 249

= 498

Step2:

LCM(249, 420) = 34860

GCD(249, 420) = ( 249 x 420 ) / 34860

= 249 / 420

= 249

Step3:

LCM(3, 659) = 1977

GCD(3, 659) = ( 3 x 659 ) / 1977

= 3 / 659

= 3

So, Greatest Common Divisor of 498, 249, 420, 659 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 692, 560, 703
• GCD of 204, 111, 930, 532
• GCD of 538, 361, 695, 693
• GCD of 716, 584, 782, 849
• GCD of 751, 731, 208, 512

Given numbers are 498, 249, 420, 659
The greatest common divisor of numbers 498, 249, 420, 659 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 249, 420, 659 is 1.

1. What is the GCD of 498, 249, 420, 659?

GCD of given numbers 498, 249, 420, 659 is 1

2. How to calculate the greatest common divisor of 498, 249, 420, 659?

We can find the highest common divisor of 498, 249, 420, 659 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, 249, 420, 659 i.e 1.

3. How can I use the GCD of 498, 249, 420, 659Calculator?

Out the numbers 498, 249, 420, 659 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.