GCD of 642, 130, 118, 204 Calculator

Given Input numbers are 642, 130, 118, 204

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

Divisors of 642 :

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

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (642, 130, 118, 204) = 2.

Given numbers are 642, 130, 118, 204

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 130 are 2 x 5 x 13

Prime factors of 118 are 2 x 59

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 642, 130, 118, 204 is 2.

Given numbers are 642, 130, 118, 204

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

Apply this formula for all numbers.

Step1:

LCM(642, 130) = 41730

GCD(642, 130) = ( 642 x 130 ) / 41730

= 642 / 130

= 642

Step2:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

Step3:

LCM(2, 204) = 204

GCD(2, 204) = ( 2 x 204 ) / 204

= 2 / 204

= 2

So, Greatest Common Divisor of 642, 130, 118, 204 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 776, 210, 607, 259
• GCD of 149, 962, 165, 424
• GCD of 347, 236, 587, 811
• GCD of 861, 639, 158, 661
• GCD of 140, 492, 876, 137

Given numbers are 642, 130, 118, 204
The greatest common divisor of numbers 642, 130, 118, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 130, 118, 204 is 2.

1. What is the GCD of 642, 130, 118, 204?

GCD of given numbers 642, 130, 118, 204 is 2

2. How to calculate the greatest common divisor of 642, 130, 118, 204?

We can find the highest common divisor of 642, 130, 118, 204 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 642, 130, 118, 204 i.e 2.

3. How can I use the GCD of 642, 130, 118, 204Calculator?

Out the numbers 642, 130, 118, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.