GCD of 975, 649, 816, 180 Calculator

Given Input numbers are 975, 649, 816, 180

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 (975, 649, 816, 180) = 1.

Given numbers are 975, 649, 816, 180

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 649 are 11 x 59

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

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

Given numbers are 975, 649, 816, 180

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

Apply this formula for all numbers.

Step1:

LCM(975, 649) = 632775

GCD(975, 649) = ( 975 x 649 ) / 632775

= 975 / 649

= 975

Step2:

LCM(1, 816) = 816

GCD(1, 816) = ( 1 x 816 ) / 816

= 1 / 816

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 975, 649, 816, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 475, 637, 868
• GCD of 295, 497, 716, 115
• GCD of 623, 273, 815, 617
• GCD of 657, 656, 742, 316
• GCD of 621, 418, 777, 112

Given numbers are 975, 649, 816, 180
The greatest common divisor of numbers 975, 649, 816, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 649, 816, 180 is 1.

1. What is the GCD of 975, 649, 816, 180?

GCD of given numbers 975, 649, 816, 180 is 1

2. How to calculate the greatest common divisor of 975, 649, 816, 180?

We can find the highest common divisor of 975, 649, 816, 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 975, 649, 816, 180 i.e 1.

3. How can I use the GCD of 975, 649, 816, 180Calculator?

Out the numbers 975, 649, 816, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.