GCD of 312, 196, 678, 561 Calculator

Given Input numbers are 312, 196, 678, 561

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

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 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

GCD of numbers is the greatest common divisor

So, the GCD (312, 196, 678, 561) = 1.

Given numbers are 312, 196, 678, 561

The list of prime factors of all numbers are

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

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 678 are 2 x 3 x 113

Prime factors of 561 are 3 x 11 x 17

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

Given numbers are 312, 196, 678, 561

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

Apply this formula for all numbers.

Step1:

LCM(312, 196) = 15288

GCD(312, 196) = ( 312 x 196 ) / 15288

= 312 / 196

= 312

Step2:

LCM(4, 678) = 1356

GCD(4, 678) = ( 4 x 678 ) / 1356

= 4 / 678

= 4

Step3:

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

= 2 / 561

= 2

So, Greatest Common Divisor of 312, 196, 678, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 254, 294, 324
• GCD of 989, 786, 733, 857
• GCD of 595, 877, 113, 384
• GCD of 865, 190, 560, 657
• GCD of 777, 263, 327, 116

Given numbers are 312, 196, 678, 561
The greatest common divisor of numbers 312, 196, 678, 561 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 196, 678, 561 is 1.

1. What is the GCD of 312, 196, 678, 561?

GCD of given numbers 312, 196, 678, 561 is 1

2. How to calculate the greatest common divisor of 312, 196, 678, 561?

We can find the highest common divisor of 312, 196, 678, 561 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 312, 196, 678, 561 i.e 1.

3. How can I use the GCD of 312, 196, 678, 561Calculator?

Out the numbers 312, 196, 678, 561 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.