GCD of 600, 316, 20, 974 Calculator

Given Input numbers are 600, 316, 20, 974

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 316 :

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

1, 2, 4, 79, 158, 316

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

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 (600, 316, 20, 974) = 2.

Given numbers are 600, 316, 20, 974

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 316 are 2 x 2 x 79

Prime factors of 20 are 2 x 2 x 5

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 600, 316, 20, 974 is 2.

Given numbers are 600, 316, 20, 974

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

Apply this formula for all numbers.

Step1:

LCM(600, 316) = 47400

GCD(600, 316) = ( 600 x 316 ) / 47400

= 600 / 316

= 600

Step2:

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

= 4 / 20

= 4

Step3:

LCM(4, 974) = 1948

GCD(4, 974) = ( 4 x 974 ) / 1948

= 4 / 974

= 4

So, Greatest Common Divisor of 600, 316, 20, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 822, 43, 929
• GCD of 622, 207, 18, 350
• GCD of 915, 985, 31, 184
• GCD of 939, 928, 87, 111
• GCD of 729, 116, 16, 479

Given numbers are 600, 316, 20, 974
The greatest common divisor of numbers 600, 316, 20, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 316, 20, 974 is 2.

1. What is the GCD of 600, 316, 20, 974?

GCD of given numbers 600, 316, 20, 974 is 2

2. How to calculate the greatest common divisor of 600, 316, 20, 974?

We can find the highest common divisor of 600, 316, 20, 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 600, 316, 20, 974 i.e 2.

3. How can I use the GCD of 600, 316, 20, 974Calculator?

Out the numbers 600, 316, 20, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.