GCD of 753, 264, 135 Calculator

Given Input numbers are 753, 264, 135

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (753, 264, 135) = 3.

Given numbers are 753, 264, 135

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 753, 264, 135 is 3.

Given numbers are 753, 264, 135

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

Apply this formula for all numbers.

Step1:

LCM(753, 264) = 66264

GCD(753, 264) = ( 753 x 264 ) / 66264

= 753 / 264

= 753

Step2:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3

So, Greatest Common Divisor of 753, 264, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 484, 924
• GCD of 931, 100, 596
• GCD of 890, 538, 403
• GCD of 637, 524, 442
• GCD of 812, 565, 289

Given numbers are 753, 264, 135
The greatest common divisor of numbers 753, 264, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 264, 135 is 3.

1. What is the GCD of 753, 264, 135?

GCD of given numbers 753, 264, 135 is 3

2. How to calculate the greatest common divisor of 753, 264, 135?

We can find the highest common divisor of 753, 264, 135 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 753, 264, 135 i.e 3.

3. How can I use the GCD of 753, 264, 135Calculator?

Out the numbers 753, 264, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.