GCD of 920, 618, 642, 498 Calculator

Given Input numbers are 920, 618, 642, 498

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 618 :

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

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 498 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (920, 618, 642, 498) = 2.

Given numbers are 920, 618, 642, 498

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 618 are 2 x 3 x 103

Prime factors of 642 are 2 x 3 x 107

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 920, 618, 642, 498 is 2.

Given numbers are 920, 618, 642, 498

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

Apply this formula for all numbers.

Step1:

LCM(920, 618) = 284280

GCD(920, 618) = ( 920 x 618 ) / 284280

= 920 / 618

= 920

Step2:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

Step3:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

So, Greatest Common Divisor of 920, 618, 642, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 471, 189, 384
• GCD of 162, 678, 799, 732
• GCD of 533, 744, 805, 711
• GCD of 979, 480, 658, 799
• GCD of 354, 158, 501, 467

Given numbers are 920, 618, 642, 498
The greatest common divisor of numbers 920, 618, 642, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 618, 642, 498 is 2.

1. What is the GCD of 920, 618, 642, 498?

GCD of given numbers 920, 618, 642, 498 is 2

2. How to calculate the greatest common divisor of 920, 618, 642, 498?

We can find the highest common divisor of 920, 618, 642, 498 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 920, 618, 642, 498 i.e 2.

3. How can I use the GCD of 920, 618, 642, 498Calculator?

Out the numbers 920, 618, 642, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.