GCD of 756, 988, 538, 300 Calculator

Given Input numbers are 756, 988, 538, 300

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (756, 988, 538, 300) = 2.

Given numbers are 756, 988, 538, 300

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 988 are 2 x 2 x 13 x 19

Prime factors of 538 are 2 x 269

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 756, 988, 538, 300 is 2.

Given numbers are 756, 988, 538, 300

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

Apply this formula for all numbers.

Step1:

LCM(756, 988) = 186732

GCD(756, 988) = ( 756 x 988 ) / 186732

= 756 / 988

= 756

Step2:

LCM(4, 538) = 1076

GCD(4, 538) = ( 4 x 538 ) / 1076

= 4 / 538

= 4

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 756, 988, 538, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 896, 721, 962
• GCD of 402, 670, 838, 952
• GCD of 948, 429, 981, 957
• GCD of 650, 296, 297, 934
• GCD of 283, 118, 188, 979

Given numbers are 756, 988, 538, 300
The greatest common divisor of numbers 756, 988, 538, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 988, 538, 300 is 2.

1. What is the GCD of 756, 988, 538, 300?

GCD of given numbers 756, 988, 538, 300 is 2

2. How to calculate the greatest common divisor of 756, 988, 538, 300?

We can find the highest common divisor of 756, 988, 538, 300 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, 988, 538, 300 i.e 2.

3. How can I use the GCD of 756, 988, 538, 300Calculator?

Out the numbers 756, 988, 538, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.