GCD of 100, 136, 756, 516 Calculator

Given Input numbers are 100, 136, 756, 516

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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 (100, 136, 756, 516) = 4.

Given numbers are 100, 136, 756, 516

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 100, 136, 756, 516 is 4.

Given numbers are 100, 136, 756, 516

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

Apply this formula for all numbers.

Step1:

LCM(100, 136) = 3400

GCD(100, 136) = ( 100 x 136 ) / 3400

= 100 / 136

= 100

Step2:

LCM(4, 756) = 756

GCD(4, 756) = ( 4 x 756 ) / 756

= 4 / 756

= 4

Step3:

LCM(4, 516) = 516

GCD(4, 516) = ( 4 x 516 ) / 516

= 4 / 516

= 4

So, Greatest Common Divisor of 100, 136, 756, 516 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 443, 319, 440, 185
• GCD of 928, 101, 228, 241
• GCD of 899, 200, 193, 483
• GCD of 415, 805, 227, 635
• GCD of 379, 609, 308, 325

Given numbers are 100, 136, 756, 516
The greatest common divisor of numbers 100, 136, 756, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 136, 756, 516 is 4.

1. What is the GCD of 100, 136, 756, 516?

GCD of given numbers 100, 136, 756, 516 is 4

2. How to calculate the greatest common divisor of 100, 136, 756, 516?

We can find the highest common divisor of 100, 136, 756, 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 100, 136, 756, 516 i.e 4.

3. How can I use the GCD of 100, 136, 756, 516Calculator?

Out the numbers 100, 136, 756, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.