GCD of 135, 178, 132, 870 Calculator

Given Input numbers are 135, 178, 132, 870

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 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

GCD of numbers is the greatest common divisor

So, the GCD (135, 178, 132, 870) = 1.

Given numbers are 135, 178, 132, 870

The list of prime factors of all numbers are

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

Prime factors of 178 are 2 x 89

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 870 are 2 x 3 x 5 x 29

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

Given numbers are 135, 178, 132, 870

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

Apply this formula for all numbers.

Step1:

LCM(135, 178) = 24030

GCD(135, 178) = ( 135 x 178 ) / 24030

= 135 / 178

= 135

Step2:

LCM(1, 132) = 132

GCD(1, 132) = ( 1 x 132 ) / 132

= 1 / 132

= 1

Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1

So, Greatest Common Divisor of 135, 178, 132, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 643, 186, 637
• GCD of 136, 156, 998, 903
• GCD of 448, 396, 503, 692
• GCD of 367, 859, 816, 711
• GCD of 860, 267, 149, 687

Given numbers are 135, 178, 132, 870
The greatest common divisor of numbers 135, 178, 132, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 178, 132, 870 is 1.

1. What is the GCD of 135, 178, 132, 870?

GCD of given numbers 135, 178, 132, 870 is 1

2. How to calculate the greatest common divisor of 135, 178, 132, 870?

We can find the highest common divisor of 135, 178, 132, 870 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, 178, 132, 870 i.e 1.

3. How can I use the GCD of 135, 178, 132, 870Calculator?

Out the numbers 135, 178, 132, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.