GCD of 135, 531, 987 Calculator

Given Input numbers are 135, 531, 987

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 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

GCD of numbers is the greatest common divisor

So, the GCD (135, 531, 987) = 3.

Given numbers are 135, 531, 987

The list of prime factors of all numbers are

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

Prime factors of 531 are 3 x 3 x 59

Prime factors of 987 are 3 x 7 x 47

The highest common occurrence is 3¹

Therefore, GCD of 135, 531, 987 is 3.

Given numbers are 135, 531, 987

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

Apply this formula for all numbers.

Step1:

LCM(135, 531) = 7965

GCD(135, 531) = ( 135 x 531 ) / 7965

= 135 / 531

= 135

Step2:

LCM(9, 987) = 2961

GCD(9, 987) = ( 9 x 987 ) / 2961

= 9 / 987

= 9

So, Greatest Common Divisor of 135, 531, 987 is 3

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• GCD of 863, 612, 148
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Given numbers are 135, 531, 987
The greatest common divisor of numbers 135, 531, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 531, 987 is 3.

1. What is the GCD of 135, 531, 987?

GCD of given numbers 135, 531, 987 is 3

2. How to calculate the greatest common divisor of 135, 531, 987?

We can find the highest common divisor of 135, 531, 987 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, 531, 987 i.e 3.

3. How can I use the GCD of 135, 531, 987Calculator?

Out the numbers 135, 531, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.