GCD of 756, 882, 36, 299 Calculator

Given Input numbers are 756, 882, 36, 299

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 36 :

The positive integer divisors of 36 that completely divides 36 are.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

GCD of numbers is the greatest common divisor

So, the GCD (756, 882, 36, 299) = 1.

Given numbers are 756, 882, 36, 299

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 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 36 are 2 x 2 x 3 x 3

Prime factors of 299 are 13 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 756, 882, 36, 299

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

Apply this formula for all numbers.

Step1:

LCM(756, 882) = 5292

GCD(756, 882) = ( 756 x 882 ) / 5292

= 756 / 882

= 756

Step2:

LCM(126, 36) = 252

GCD(126, 36) = ( 126 x 36 ) / 252

= 126 / 36

= 126

Step3:

LCM(18, 299) = 5382

GCD(18, 299) = ( 18 x 299 ) / 5382

= 18 / 299

= 18

So, Greatest Common Divisor of 756, 882, 36, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 556, 252, 80, 747
• GCD of 657, 602, 22, 662
• GCD of 349, 818, 58, 337
• GCD of 849, 349, 35, 432
• GCD of 434, 551, 83, 663

Given numbers are 756, 882, 36, 299
The greatest common divisor of numbers 756, 882, 36, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 882, 36, 299 is 1.

1. What is the GCD of 756, 882, 36, 299?

GCD of given numbers 756, 882, 36, 299 is 1

2. How to calculate the greatest common divisor of 756, 882, 36, 299?

We can find the highest common divisor of 756, 882, 36, 299 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, 882, 36, 299 i.e 1.

3. How can I use the GCD of 756, 882, 36, 299Calculator?

Out the numbers 756, 882, 36, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.