GCD of 714, 531, 36, 747 Calculator

Given Input numbers are 714, 531, 36, 747

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (714, 531, 36, 747) = 3.

Given numbers are 714, 531, 36, 747

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 531 are 3 x 3 x 59

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

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 714, 531, 36, 747 is 3.

Given numbers are 714, 531, 36, 747

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

Apply this formula for all numbers.

Step1:

LCM(714, 531) = 126378

GCD(714, 531) = ( 714 x 531 ) / 126378

= 714 / 531

= 714

Step2:

LCM(3, 36) = 36

GCD(3, 36) = ( 3 x 36 ) / 36

= 3 / 36

= 3

Step3:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

So, Greatest Common Divisor of 714, 531, 36, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 493, 54, 612
• GCD of 916, 365, 89, 652
• GCD of 795, 694, 46, 227
• GCD of 856, 518, 83, 810
• GCD of 108, 463, 49, 751

Given numbers are 714, 531, 36, 747
The greatest common divisor of numbers 714, 531, 36, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 531, 36, 747 is 3.

1. What is the GCD of 714, 531, 36, 747?

GCD of given numbers 714, 531, 36, 747 is 3

2. How to calculate the greatest common divisor of 714, 531, 36, 747?

We can find the highest common divisor of 714, 531, 36, 747 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 714, 531, 36, 747 i.e 3.

3. How can I use the GCD of 714, 531, 36, 747Calculator?

Out the numbers 714, 531, 36, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.