GCD of 688, 918, 270, 961 Calculator

Given Input numbers are 688, 918, 270, 961

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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

Divisors of 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (688, 918, 270, 961) = 1.

Given numbers are 688, 918, 270, 961

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Prime factors of 961 are 31 x 31

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

Given numbers are 688, 918, 270, 961

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

Apply this formula for all numbers.

Step1:

LCM(688, 918) = 315792

GCD(688, 918) = ( 688 x 918 ) / 315792

= 688 / 918

= 688

Step2:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

Step3:

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

= 2 / 961

= 2

So, Greatest Common Divisor of 688, 918, 270, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 771, 306, 746
• GCD of 100, 457, 187, 367
• GCD of 645, 100, 451, 731
• GCD of 180, 343, 266, 210
• GCD of 614, 232, 453, 652

Given numbers are 688, 918, 270, 961
The greatest common divisor of numbers 688, 918, 270, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 918, 270, 961 is 1.

1. What is the GCD of 688, 918, 270, 961?

GCD of given numbers 688, 918, 270, 961 is 1

2. How to calculate the greatest common divisor of 688, 918, 270, 961?

We can find the highest common divisor of 688, 918, 270, 961 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 688, 918, 270, 961 i.e 1.

3. How can I use the GCD of 688, 918, 270, 961Calculator?

Out the numbers 688, 918, 270, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.