GCD of 756, 134, 20, 200 Calculator

Given Input numbers are 756, 134, 20, 200

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

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 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (756, 134, 20, 200) = 2.

Given numbers are 756, 134, 20, 200

The list of prime factors of all numbers are

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

Prime factors of 134 are 2 x 67

Prime factors of 20 are 2 x 2 x 5

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 756, 134, 20, 200 is 2.

Given numbers are 756, 134, 20, 200

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

Apply this formula for all numbers.

Step1:

LCM(756, 134) = 50652

GCD(756, 134) = ( 756 x 134 ) / 50652

= 756 / 134

= 756

Step2:

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

= 2 / 20

= 2

Step3:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

So, Greatest Common Divisor of 756, 134, 20, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 536, 62, 550
• GCD of 395, 174, 60, 525
• GCD of 985, 289, 46, 489
• GCD of 105, 810, 50, 315
• GCD of 969, 111, 89, 641

Given numbers are 756, 134, 20, 200
The greatest common divisor of numbers 756, 134, 20, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 134, 20, 200 is 2.

1. What is the GCD of 756, 134, 20, 200?

GCD of given numbers 756, 134, 20, 200 is 2

2. How to calculate the greatest common divisor of 756, 134, 20, 200?

We can find the highest common divisor of 756, 134, 20, 200 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 756, 134, 20, 200 i.e 2.

3. How can I use the GCD of 756, 134, 20, 200Calculator?

Out the numbers 756, 134, 20, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.