GCD of 498, 301, 678 Calculator

Given Input numbers are 498, 301, 678

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 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (498, 301, 678) = 1.

Given numbers are 498, 301, 678

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 301 are 7 x 43

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 498, 301, 678

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

Apply this formula for all numbers.

Step1:

LCM(498, 301) = 149898

GCD(498, 301) = ( 498 x 301 ) / 149898

= 498 / 301

= 498

Step2:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 498, 301, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 854, 907
• GCD of 439, 240, 827
• GCD of 643, 947, 306
• GCD of 769, 236, 434
• GCD of 569, 344, 758

Given numbers are 498, 301, 678
The greatest common divisor of numbers 498, 301, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 301, 678 is 1.

1. What is the GCD of 498, 301, 678?

GCD of given numbers 498, 301, 678 is 1

2. How to calculate the greatest common divisor of 498, 301, 678?

We can find the highest common divisor of 498, 301, 678 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, 301, 678 i.e 1.

3. How can I use the GCD of 498, 301, 678Calculator?

Out the numbers 498, 301, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.