GCD of 876, 738, 123, 135 Calculator

Given Input numbers are 876, 738, 123, 135

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

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

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 (876, 738, 123, 135) = 3.

Given numbers are 876, 738, 123, 135

The list of prime factors of all numbers are

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

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 123 are 3 x 41

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

The highest common occurrence is 3¹

Therefore, GCD of 876, 738, 123, 135 is 3.

Given numbers are 876, 738, 123, 135

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

Apply this formula for all numbers.

Step1:

LCM(876, 738) = 107748

GCD(876, 738) = ( 876 x 738 ) / 107748

= 876 / 738

= 876

Step2:

LCM(6, 123) = 246

GCD(6, 123) = ( 6 x 123 ) / 246

= 6 / 123

= 6

Step3:

LCM(3, 135) = 135

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

= 3 / 135

= 3

So, Greatest Common Divisor of 876, 738, 123, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 732, 621, 249
• GCD of 787, 486, 686, 740
• GCD of 220, 735, 858, 888
• GCD of 443, 452, 726, 983
• GCD of 803, 322, 528, 648

Given numbers are 876, 738, 123, 135
The greatest common divisor of numbers 876, 738, 123, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 876, 738, 123, 135 is 3.

1. What is the GCD of 876, 738, 123, 135?

GCD of given numbers 876, 738, 123, 135 is 3

2. How to calculate the greatest common divisor of 876, 738, 123, 135?

We can find the highest common divisor of 876, 738, 123, 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 876, 738, 123, 135 i.e 3.

3. How can I use the GCD of 876, 738, 123, 135Calculator?

Out the numbers 876, 738, 123, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.