GCD of 135, 744, 765, 639 Calculator

Given Input numbers are 135, 744, 765, 639

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

Divisors of 135 :

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

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

GCD of numbers is the greatest common divisor

So, the GCD (135, 744, 765, 639) = 3.

Given numbers are 135, 744, 765, 639

The list of prime factors of all numbers are

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

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 639 are 3 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 135, 744, 765, 639 is 3.

Given numbers are 135, 744, 765, 639

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

Apply this formula for all numbers.

Step1:

LCM(135, 744) = 33480

GCD(135, 744) = ( 135 x 744 ) / 33480

= 135 / 744

= 135

Step2:

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

= 3 / 765

= 3

Step3:

LCM(3, 639) = 639

GCD(3, 639) = ( 3 x 639 ) / 639

= 3 / 639

= 3

So, Greatest Common Divisor of 135, 744, 765, 639 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 121, 725, 115
• GCD of 272, 135, 874, 833
• GCD of 926, 581, 915, 814
• GCD of 215, 734, 544, 677
• GCD of 455, 653, 582, 941

Given numbers are 135, 744, 765, 639
The greatest common divisor of numbers 135, 744, 765, 639 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 744, 765, 639 is 3.

1. What is the GCD of 135, 744, 765, 639?

GCD of given numbers 135, 744, 765, 639 is 3

2. How to calculate the greatest common divisor of 135, 744, 765, 639?

We can find the highest common divisor of 135, 744, 765, 639 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 135, 744, 765, 639 i.e 3.

3. How can I use the GCD of 135, 744, 765, 639Calculator?

Out the numbers 135, 744, 765, 639 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.