GCD of 108, 230, 700, 516 Calculator

Given Input numbers are 108, 230, 700, 516

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (108, 230, 700, 516) = 2.

Given numbers are 108, 230, 700, 516

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 230 are 2 x 5 x 23

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

Prime factors of 516 are 2 x 2 x 3 x 43

The highest common occurrence is 2¹

Therefore, GCD of 108, 230, 700, 516 is 2.

Given numbers are 108, 230, 700, 516

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

Apply this formula for all numbers.

Step1:

LCM(108, 230) = 12420

GCD(108, 230) = ( 108 x 230 ) / 12420

= 108 / 230

= 108

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

= 2 / 516

= 2

So, Greatest Common Divisor of 108, 230, 700, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 927, 637, 390, 491
• GCD of 928, 984, 237, 424
• GCD of 180, 897, 228, 998
• GCD of 400, 869, 239, 625
• GCD of 295, 135, 866, 300

Given numbers are 108, 230, 700, 516
The greatest common divisor of numbers 108, 230, 700, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 230, 700, 516 is 2.

1. What is the GCD of 108, 230, 700, 516?

GCD of given numbers 108, 230, 700, 516 is 2

2. How to calculate the greatest common divisor of 108, 230, 700, 516?

We can find the highest common divisor of 108, 230, 700, 516 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 108, 230, 700, 516 i.e 2.

3. How can I use the GCD of 108, 230, 700, 516Calculator?

Out the numbers 108, 230, 700, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.