GCD of 498, 564, 678, 490 Calculator

Given Input numbers are 498, 564, 678, 490

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 678 :

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

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

GCD of numbers is the greatest common divisor

So, the GCD (498, 564, 678, 490) = 2.

Given numbers are 498, 564, 678, 490

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 678 are 2 x 3 x 113

Prime factors of 490 are 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 498, 564, 678, 490 is 2.

Given numbers are 498, 564, 678, 490

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

Apply this formula for all numbers.

Step1:

LCM(498, 564) = 46812

GCD(498, 564) = ( 498 x 564 ) / 46812

= 498 / 564

= 498

Step2:

LCM(6, 678) = 678

GCD(6, 678) = ( 6 x 678 ) / 678

= 6 / 678

= 6

Step3:

LCM(6, 490) = 1470

GCD(6, 490) = ( 6 x 490 ) / 1470

= 6 / 490

= 6

So, Greatest Common Divisor of 498, 564, 678, 490 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 245, 879, 978
• GCD of 578, 434, 530, 516
• GCD of 265, 135, 678, 509
• GCD of 737, 558, 665, 222
• GCD of 514, 184, 998, 770

Given numbers are 498, 564, 678, 490
The greatest common divisor of numbers 498, 564, 678, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 564, 678, 490 is 2.

1. What is the GCD of 498, 564, 678, 490?

GCD of given numbers 498, 564, 678, 490 is 2

2. How to calculate the greatest common divisor of 498, 564, 678, 490?

We can find the highest common divisor of 498, 564, 678, 490 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, 564, 678, 490 i.e 2.

3. How can I use the GCD of 498, 564, 678, 490Calculator?

Out the numbers 498, 564, 678, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.