GCD of 117, 246, 180 Calculator

Given Input numbers are 117, 246, 180

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 246 :

The positive integer divisors of 246 that completely divides 246 are.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (117, 246, 180) = 3.

Given numbers are 117, 246, 180

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 246 are 2 x 3 x 41

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 117, 246, 180 is 3.

Given numbers are 117, 246, 180

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

Apply this formula for all numbers.

Step1:

LCM(117, 246) = 9594

GCD(117, 246) = ( 117 x 246 ) / 9594

= 117 / 246

= 117

Step2:

LCM(3, 180) = 180

GCD(3, 180) = ( 3 x 180 ) / 180

= 3 / 180

= 3

So, Greatest Common Divisor of 117, 246, 180 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 939, 746
• GCD of 538, 509, 943
• GCD of 944, 191, 356
• GCD of 405, 892, 929
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Given numbers are 117, 246, 180
The greatest common divisor of numbers 117, 246, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 246, 180 is 3.

1. What is the GCD of 117, 246, 180?

GCD of given numbers 117, 246, 180 is 3

2. How to calculate the greatest common divisor of 117, 246, 180?

We can find the highest common divisor of 117, 246, 180 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 117, 246, 180 i.e 3.

3. How can I use the GCD of 117, 246, 180Calculator?

Out the numbers 117, 246, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.