GCD of 135, 120, 42, 753 Calculator

Given Input numbers are 135, 120, 42, 753

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 753 :

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

1, 3, 251, 753

GCD of numbers is the greatest common divisor

So, the GCD (135, 120, 42, 753) = 3.

Given numbers are 135, 120, 42, 753

The list of prime factors of all numbers are

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 42 are 2 x 3 x 7

Prime factors of 753 are 3 x 251

The highest common occurrence is 3¹

Therefore, GCD of 135, 120, 42, 753 is 3.

Given numbers are 135, 120, 42, 753

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

Apply this formula for all numbers.

Step1:

LCM(135, 120) = 1080

GCD(135, 120) = ( 135 x 120 ) / 1080

= 135 / 120

= 135

Step2:

LCM(15, 42) = 210

GCD(15, 42) = ( 15 x 42 ) / 210

= 15 / 42

= 15

Step3:

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

= 3 / 753

= 3

So, Greatest Common Divisor of 135, 120, 42, 753 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 321, 11, 360
• GCD of 473, 300, 84, 246
• GCD of 908, 996, 67, 785
• GCD of 829, 865, 11, 683
• GCD of 219, 749, 31, 205

Given numbers are 135, 120, 42, 753
The greatest common divisor of numbers 135, 120, 42, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 120, 42, 753 is 3.

1. What is the GCD of 135, 120, 42, 753?

GCD of given numbers 135, 120, 42, 753 is 3

2. How to calculate the greatest common divisor of 135, 120, 42, 753?

We can find the highest common divisor of 135, 120, 42, 753 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, 120, 42, 753 i.e 3.

3. How can I use the GCD of 135, 120, 42, 753Calculator?

Out the numbers 135, 120, 42, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.