GCD of 868, 312, 345, 364 Calculator

Given Input numbers are 868, 312, 345, 364

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

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (868, 312, 345, 364) = 1.

Given numbers are 868, 312, 345, 364

The list of prime factors of all numbers are

Prime factors of 868 are 2 x 2 x 7 x 31

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

Prime factors of 345 are 3 x 5 x 23

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 868, 312, 345, 364

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

Apply this formula for all numbers.

Step1:

LCM(868, 312) = 67704

GCD(868, 312) = ( 868 x 312 ) / 67704

= 868 / 312

= 868

Step2:

LCM(4, 345) = 1380

GCD(4, 345) = ( 4 x 345 ) / 1380

= 4 / 345

= 4

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 868, 312, 345, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 146, 817, 907, 223
• GCD of 208, 943, 639, 123
• GCD of 549, 596, 580, 407
• GCD of 245, 845, 343, 697
• GCD of 780, 300, 816, 823

Given numbers are 868, 312, 345, 364
The greatest common divisor of numbers 868, 312, 345, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 312, 345, 364 is 1.

1. What is the GCD of 868, 312, 345, 364?

GCD of given numbers 868, 312, 345, 364 is 1

2. How to calculate the greatest common divisor of 868, 312, 345, 364?

We can find the highest common divisor of 868, 312, 345, 364 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 868, 312, 345, 364 i.e 1.

3. How can I use the GCD of 868, 312, 345, 364Calculator?

Out the numbers 868, 312, 345, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.