GCD of 316, 318, 196, 400 Calculator

Given Input numbers are 316, 318, 196, 400

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 318 :

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

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

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (316, 318, 196, 400) = 2.

Given numbers are 316, 318, 196, 400

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 318 are 2 x 3 x 53

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

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 316, 318, 196, 400 is 2.

Given numbers are 316, 318, 196, 400

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

Apply this formula for all numbers.

Step1:

LCM(316, 318) = 50244

GCD(316, 318) = ( 316 x 318 ) / 50244

= 316 / 318

= 316

Step2:

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

= 2 / 196

= 2

Step3:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

So, Greatest Common Divisor of 316, 318, 196, 400 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 121, 164, 434, 813
• GCD of 211, 273, 243, 627
• GCD of 636, 985, 627, 572
• GCD of 677, 765, 269, 841
• GCD of 203, 651, 664, 129

Given numbers are 316, 318, 196, 400
The greatest common divisor of numbers 316, 318, 196, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 318, 196, 400 is 2.

1. What is the GCD of 316, 318, 196, 400?

GCD of given numbers 316, 318, 196, 400 is 2

2. How to calculate the greatest common divisor of 316, 318, 196, 400?

We can find the highest common divisor of 316, 318, 196, 400 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 316, 318, 196, 400 i.e 2.

3. How can I use the GCD of 316, 318, 196, 400Calculator?

Out the numbers 316, 318, 196, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.