GCD of 318, 156, 144, 970 Calculator

Given Input numbers are 318, 156, 144, 970

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

Divisors of 318 :

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

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

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

GCD of numbers is the greatest common divisor

So, the GCD (318, 156, 144, 970) = 2.

Given numbers are 318, 156, 144, 970

The list of prime factors of all numbers are

Prime factors of 318 are 2 x 3 x 53

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 970 are 2 x 5 x 97

The highest common occurrence is 2¹

Therefore, GCD of 318, 156, 144, 970 is 2.

Given numbers are 318, 156, 144, 970

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

Apply this formula for all numbers.

Step1:

LCM(318, 156) = 8268

GCD(318, 156) = ( 318 x 156 ) / 8268

= 318 / 156

= 318

Step2:

LCM(6, 144) = 144

GCD(6, 144) = ( 6 x 144 ) / 144

= 6 / 144

= 6

Step3:

LCM(6, 970) = 2910

GCD(6, 970) = ( 6 x 970 ) / 2910

= 6 / 970

= 6

So, Greatest Common Divisor of 318, 156, 144, 970 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 279, 156, 146, 414
• GCD of 657, 202, 357, 597
• GCD of 317, 584, 886, 716
• GCD of 990, 465, 910, 828
• GCD of 207, 753, 515, 241

Given numbers are 318, 156, 144, 970
The greatest common divisor of numbers 318, 156, 144, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 156, 144, 970 is 2.

1. What is the GCD of 318, 156, 144, 970?

GCD of given numbers 318, 156, 144, 970 is 2

2. How to calculate the greatest common divisor of 318, 156, 144, 970?

We can find the highest common divisor of 318, 156, 144, 970 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 318, 156, 144, 970 i.e 2.

3. How can I use the GCD of 318, 156, 144, 970Calculator?

Out the numbers 318, 156, 144, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.