GCD of 135, 924, 647, 172 Calculator

Given Input numbers are 135, 924, 647, 172

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 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 647 :

The positive integer divisors of 647 that completely divides 647 are.

1, 647

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (135, 924, 647, 172) = 1.

Given numbers are 135, 924, 647, 172

The list of prime factors of all numbers are

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

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 647 are 647

Prime factors of 172 are 2 x 2 x 43

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

Given numbers are 135, 924, 647, 172

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

Apply this formula for all numbers.

Step1:

LCM(135, 924) = 41580

GCD(135, 924) = ( 135 x 924 ) / 41580

= 135 / 924

= 135

Step2:

LCM(3, 647) = 1941

GCD(3, 647) = ( 3 x 647 ) / 1941

= 3 / 647

= 3

Step3:

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

= 1 / 172

= 1

So, Greatest Common Divisor of 135, 924, 647, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 404, 338, 929, 170
• GCD of 395, 133, 709, 607
• GCD of 630, 304, 516, 186
• GCD of 786, 126, 656, 301
• GCD of 101, 267, 160, 742

Given numbers are 135, 924, 647, 172
The greatest common divisor of numbers 135, 924, 647, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 924, 647, 172 is 1.

1. What is the GCD of 135, 924, 647, 172?

GCD of given numbers 135, 924, 647, 172 is 1

2. How to calculate the greatest common divisor of 135, 924, 647, 172?

We can find the highest common divisor of 135, 924, 647, 172 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, 924, 647, 172 i.e 1.

3. How can I use the GCD of 135, 924, 647, 172Calculator?

Out the numbers 135, 924, 647, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.