GCD of 261, 756, 655, 969 Calculator

Given Input numbers are 261, 756, 655, 969

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 655 :

The positive integer divisors of 655 that completely divides 655 are.

1, 5, 131, 655

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

GCD of numbers is the greatest common divisor

So, the GCD (261, 756, 655, 969) = 1.

Given numbers are 261, 756, 655, 969

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 655 are 5 x 131

Prime factors of 969 are 3 x 17 x 19

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

Given numbers are 261, 756, 655, 969

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

Apply this formula for all numbers.

Step1:

LCM(261, 756) = 21924

GCD(261, 756) = ( 261 x 756 ) / 21924

= 261 / 756

= 261

Step2:

LCM(9, 655) = 5895

GCD(9, 655) = ( 9 x 655 ) / 5895

= 9 / 655

= 9

Step3:

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

= 1 / 969

= 1

So, Greatest Common Divisor of 261, 756, 655, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 313, 558, 242
• GCD of 123, 584, 844, 458
• GCD of 766, 259, 396, 135
• GCD of 224, 353, 746, 729
• GCD of 499, 936, 367, 552

Given numbers are 261, 756, 655, 969
The greatest common divisor of numbers 261, 756, 655, 969 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 756, 655, 969 is 1.

1. What is the GCD of 261, 756, 655, 969?

GCD of given numbers 261, 756, 655, 969 is 1

2. How to calculate the greatest common divisor of 261, 756, 655, 969?

We can find the highest common divisor of 261, 756, 655, 969 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 261, 756, 655, 969 i.e 1.

3. How can I use the GCD of 261, 756, 655, 969Calculator?

Out the numbers 261, 756, 655, 969 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.