GCD of 130, 714, 604, 600 Calculator

Given Input numbers are 130, 714, 604, 600

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (130, 714, 604, 600) = 2.

Given numbers are 130, 714, 604, 600

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 604 are 2 x 2 x 151

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 130, 714, 604, 600 is 2.

Given numbers are 130, 714, 604, 600

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

Apply this formula for all numbers.

Step1:

LCM(130, 714) = 46410

GCD(130, 714) = ( 130 x 714 ) / 46410

= 130 / 714

= 130

Step2:

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

= 2 / 604

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 130, 714, 604, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 154, 483, 814
• GCD of 266, 748, 442, 442
• GCD of 735, 933, 886, 931
• GCD of 928, 759, 849, 429
• GCD of 141, 833, 462, 485

Given numbers are 130, 714, 604, 600
The greatest common divisor of numbers 130, 714, 604, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 714, 604, 600 is 2.

1. What is the GCD of 130, 714, 604, 600?

GCD of given numbers 130, 714, 604, 600 is 2

2. How to calculate the greatest common divisor of 130, 714, 604, 600?

We can find the highest common divisor of 130, 714, 604, 600 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, 714, 604, 600 i.e 2.

3. How can I use the GCD of 130, 714, 604, 600Calculator?

Out the numbers 130, 714, 604, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.