GCD of 691, 756, 825, 270 Calculator

Given Input numbers are 691, 756, 825, 270

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

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (691, 756, 825, 270) = 1.

Given numbers are 691, 756, 825, 270

The list of prime factors of all numbers are

Prime factors of 691 are 691

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Given numbers are 691, 756, 825, 270

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

Apply this formula for all numbers.

Step1:

LCM(691, 756) = 522396

GCD(691, 756) = ( 691 x 756 ) / 522396

= 691 / 756

= 691

Step2:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 691, 756, 825, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 327, 885, 302, 816
• GCD of 973, 376, 428, 271
• GCD of 771, 781, 480, 939
• GCD of 398, 138, 364, 252
• GCD of 619, 552, 858, 779

Given numbers are 691, 756, 825, 270
The greatest common divisor of numbers 691, 756, 825, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 691, 756, 825, 270 is 1.

1. What is the GCD of 691, 756, 825, 270?

GCD of given numbers 691, 756, 825, 270 is 1

2. How to calculate the greatest common divisor of 691, 756, 825, 270?

We can find the highest common divisor of 691, 756, 825, 270 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 691, 756, 825, 270 i.e 1.

3. How can I use the GCD of 691, 756, 825, 270Calculator?

Out the numbers 691, 756, 825, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.