GCD of 130, 646, 300, 252 Calculator

Given Input numbers are 130, 646, 300, 252

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

Divisors of 130 :

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

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

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (130, 646, 300, 252) = 2.

Given numbers are 130, 646, 300, 252

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 646 are 2 x 17 x 19

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 130, 646, 300, 252 is 2.

Given numbers are 130, 646, 300, 252

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

Apply this formula for all numbers.

Step1:

LCM(130, 646) = 41990

GCD(130, 646) = ( 130 x 646 ) / 41990

= 130 / 646

= 130

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 252) = 252

GCD(2, 252) = ( 2 x 252 ) / 252

= 2 / 252

= 2

So, Greatest Common Divisor of 130, 646, 300, 252 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 424, 690, 166
• GCD of 983, 910, 504, 955
• GCD of 947, 640, 215, 529
• GCD of 627, 861, 462, 939
• GCD of 713, 428, 239, 498

Given numbers are 130, 646, 300, 252
The greatest common divisor of numbers 130, 646, 300, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 646, 300, 252 is 2.

1. What is the GCD of 130, 646, 300, 252?

GCD of given numbers 130, 646, 300, 252 is 2

2. How to calculate the greatest common divisor of 130, 646, 300, 252?

We can find the highest common divisor of 130, 646, 300, 252 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 130, 646, 300, 252 i.e 2.

3. How can I use the GCD of 130, 646, 300, 252Calculator?

Out the numbers 130, 646, 300, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.