GCD of 921, 318, 689, 312 Calculator

Given Input numbers are 921, 318, 689, 312

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

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (921, 318, 689, 312) = 1.

Given numbers are 921, 318, 689, 312

The list of prime factors of all numbers are

Prime factors of 921 are 3 x 307

Prime factors of 318 are 2 x 3 x 53

Prime factors of 689 are 13 x 53

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

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

Given numbers are 921, 318, 689, 312

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

Apply this formula for all numbers.

Step1:

LCM(921, 318) = 97626

GCD(921, 318) = ( 921 x 318 ) / 97626

= 921 / 318

= 921

Step2:

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

= 3 / 689

= 3

Step3:

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

= 1 / 312

= 1

So, Greatest Common Divisor of 921, 318, 689, 312 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 554, 972, 552
• GCD of 757, 731, 901, 809
• GCD of 995, 692, 118, 401
• GCD of 345, 922, 625, 657
• GCD of 451, 761, 517, 996

Given numbers are 921, 318, 689, 312
The greatest common divisor of numbers 921, 318, 689, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 318, 689, 312 is 1.

1. What is the GCD of 921, 318, 689, 312?

GCD of given numbers 921, 318, 689, 312 is 1

2. How to calculate the greatest common divisor of 921, 318, 689, 312?

We can find the highest common divisor of 921, 318, 689, 312 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 921, 318, 689, 312 i.e 1.

3. How can I use the GCD of 921, 318, 689, 312Calculator?

Out the numbers 921, 318, 689, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.