GCD of 400, 316, 646, 974 Calculator

Given Input numbers are 400, 316, 646, 974

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

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

Divisors of 316 :

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

1, 2, 4, 79, 158, 316

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (400, 316, 646, 974) = 2.

Given numbers are 400, 316, 646, 974

The list of prime factors of all numbers are

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

Prime factors of 316 are 2 x 2 x 79

Prime factors of 646 are 2 x 17 x 19

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 400, 316, 646, 974 is 2.

Given numbers are 400, 316, 646, 974

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

Apply this formula for all numbers.

Step1:

LCM(400, 316) = 31600

GCD(400, 316) = ( 400 x 316 ) / 31600

= 400 / 316

= 400

Step2:

LCM(4, 646) = 1292

GCD(4, 646) = ( 4 x 646 ) / 1292

= 4 / 646

= 4

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 400, 316, 646, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 469, 522, 751, 667
• GCD of 883, 880, 785, 971
• GCD of 589, 198, 717, 578
• GCD of 664, 493, 870, 665
• GCD of 985, 982, 370, 633

Given numbers are 400, 316, 646, 974
The greatest common divisor of numbers 400, 316, 646, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 316, 646, 974 is 2.

1. What is the GCD of 400, 316, 646, 974?

GCD of given numbers 400, 316, 646, 974 is 2

2. How to calculate the greatest common divisor of 400, 316, 646, 974?

We can find the highest common divisor of 400, 316, 646, 974 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 400, 316, 646, 974 i.e 2.

3. How can I use the GCD of 400, 316, 646, 974Calculator?

Out the numbers 400, 316, 646, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.