GCD of 234, 876, 747, 324 Calculator

Given Input numbers are 234, 876, 747, 324

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

Divisors of 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 876 :

The positive integer divisors of 876 that completely divides 876 are.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

GCD of numbers is the greatest common divisor

So, the GCD (234, 876, 747, 324) = 3.

Given numbers are 234, 876, 747, 324

The list of prime factors of all numbers are

Prime factors of 234 are 2 x 3 x 3 x 13

Prime factors of 876 are 2 x 2 x 3 x 73

Prime factors of 747 are 3 x 3 x 83

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 234, 876, 747, 324 is 3.

Given numbers are 234, 876, 747, 324

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

Apply this formula for all numbers.

Step1:

LCM(234, 876) = 34164

GCD(234, 876) = ( 234 x 876 ) / 34164

= 234 / 876

= 234

Step2:

LCM(6, 747) = 1494

GCD(6, 747) = ( 6 x 747 ) / 1494

= 6 / 747

= 6

Step3:

LCM(3, 324) = 324

GCD(3, 324) = ( 3 x 324 ) / 324

= 3 / 324

= 3

So, Greatest Common Divisor of 234, 876, 747, 324 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 773, 269, 510
• GCD of 138, 302, 470, 998
• GCD of 990, 140, 736, 978
• GCD of 901, 693, 393, 893
• GCD of 243, 924, 697, 544

Given numbers are 234, 876, 747, 324
The greatest common divisor of numbers 234, 876, 747, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 876, 747, 324 is 3.

1. What is the GCD of 234, 876, 747, 324?

GCD of given numbers 234, 876, 747, 324 is 3

2. How to calculate the greatest common divisor of 234, 876, 747, 324?

We can find the highest common divisor of 234, 876, 747, 324 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 234, 876, 747, 324 i.e 3.

3. How can I use the GCD of 234, 876, 747, 324Calculator?

Out the numbers 234, 876, 747, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.