GCD of 135, 747, 872, 114 Calculator

Given Input numbers are 135, 747, 872, 114

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 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (135, 747, 872, 114) = 1.

Given numbers are 135, 747, 872, 114

The list of prime factors of all numbers are

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

Prime factors of 747 are 3 x 3 x 83

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 114 are 2 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 135, 747, 872, 114

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

Apply this formula for all numbers.

Step1:

LCM(135, 747) = 11205

GCD(135, 747) = ( 135 x 747 ) / 11205

= 135 / 747

= 135

Step2:

LCM(9, 872) = 7848

GCD(9, 872) = ( 9 x 872 ) / 7848

= 9 / 872

= 9

Step3:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

So, Greatest Common Divisor of 135, 747, 872, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 764, 551, 560
• GCD of 965, 496, 543, 918
• GCD of 641, 969, 335, 883
• GCD of 766, 690, 253, 249
• GCD of 151, 537, 209, 363

Given numbers are 135, 747, 872, 114
The greatest common divisor of numbers 135, 747, 872, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 747, 872, 114 is 1.

1. What is the GCD of 135, 747, 872, 114?

GCD of given numbers 135, 747, 872, 114 is 1

2. How to calculate the greatest common divisor of 135, 747, 872, 114?

We can find the highest common divisor of 135, 747, 872, 114 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, 747, 872, 114 i.e 1.

3. How can I use the GCD of 135, 747, 872, 114Calculator?

Out the numbers 135, 747, 872, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.