GCD of 700, 584, 130, 912 Calculator

Given Input numbers are 700, 584, 130, 912

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 130 :

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

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

GCD of numbers is the greatest common divisor

So, the GCD (700, 584, 130, 912) = 2.

Given numbers are 700, 584, 130, 912

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 130 are 2 x 5 x 13

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 700, 584, 130, 912 is 2.

Given numbers are 700, 584, 130, 912

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

Apply this formula for all numbers.

Step1:

LCM(700, 584) = 102200

GCD(700, 584) = ( 700 x 584 ) / 102200

= 700 / 584

= 700

Step2:

LCM(4, 130) = 260

GCD(4, 130) = ( 4 x 130 ) / 260

= 4 / 130

= 4

Step3:

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

= 2 / 912

= 2

So, Greatest Common Divisor of 700, 584, 130, 912 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 460, 540, 109
• GCD of 477, 414, 796, 914
• GCD of 374, 930, 723, 455
• GCD of 808, 480, 962, 901
• GCD of 777, 460, 789, 529

Given numbers are 700, 584, 130, 912
The greatest common divisor of numbers 700, 584, 130, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 584, 130, 912 is 2.

1. What is the GCD of 700, 584, 130, 912?

GCD of given numbers 700, 584, 130, 912 is 2

2. How to calculate the greatest common divisor of 700, 584, 130, 912?

We can find the highest common divisor of 700, 584, 130, 912 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 700, 584, 130, 912 i.e 2.

3. How can I use the GCD of 700, 584, 130, 912Calculator?

Out the numbers 700, 584, 130, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.