GCD of 498, 618, 676, 682 Calculator

Given Input numbers are 498, 618, 676, 682

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 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (498, 618, 676, 682) = 2.

Given numbers are 498, 618, 676, 682

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 618 are 2 x 3 x 103

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 498, 618, 676, 682 is 2.

Given numbers are 498, 618, 676, 682

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

Apply this formula for all numbers.

Step1:

LCM(498, 618) = 51294

GCD(498, 618) = ( 498 x 618 ) / 51294

= 498 / 618

= 498

Step2:

LCM(6, 676) = 2028

GCD(6, 676) = ( 6 x 676 ) / 2028

= 6 / 676

= 6

Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

So, Greatest Common Divisor of 498, 618, 676, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 289, 187, 934
• GCD of 728, 899, 594, 481
• GCD of 957, 941, 383, 351
• GCD of 730, 748, 421, 540
• GCD of 921, 981, 824, 217

Given numbers are 498, 618, 676, 682
The greatest common divisor of numbers 498, 618, 676, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 618, 676, 682 is 2.

1. What is the GCD of 498, 618, 676, 682?

GCD of given numbers 498, 618, 676, 682 is 2

2. How to calculate the greatest common divisor of 498, 618, 676, 682?

We can find the highest common divisor of 498, 618, 676, 682 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, 618, 676, 682 i.e 2.

3. How can I use the GCD of 498, 618, 676, 682Calculator?

Out the numbers 498, 618, 676, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.