GCD of 400, 982, 374, 304 Calculator

Given Input numbers are 400, 982, 374, 304

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 982 :

The positive integer divisors of 982 that completely divides 982 are.

1, 2, 491, 982

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (400, 982, 374, 304) = 2.

Given numbers are 400, 982, 374, 304

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 982 are 2 x 491

Prime factors of 374 are 2 x 11 x 17

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

The highest common occurrence is 2¹

Therefore, GCD of 400, 982, 374, 304 is 2.

Given numbers are 400, 982, 374, 304

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

Apply this formula for all numbers.

Step1:

LCM(400, 982) = 196400

GCD(400, 982) = ( 400 x 982 ) / 196400

= 400 / 982

= 400

Step2:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

Step3:

LCM(2, 304) = 304

GCD(2, 304) = ( 2 x 304 ) / 304

= 2 / 304

= 2

So, Greatest Common Divisor of 400, 982, 374, 304 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 692, 135, 189
• GCD of 112, 980, 812, 429
• GCD of 379, 377, 800, 327
• GCD of 265, 943, 572, 104
• GCD of 141, 549, 921, 843

Given numbers are 400, 982, 374, 304
The greatest common divisor of numbers 400, 982, 374, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 982, 374, 304 is 2.

1. What is the GCD of 400, 982, 374, 304?

GCD of given numbers 400, 982, 374, 304 is 2

2. How to calculate the greatest common divisor of 400, 982, 374, 304?

We can find the highest common divisor of 400, 982, 374, 304 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, 982, 374, 304 i.e 2.

3. How can I use the GCD of 400, 982, 374, 304Calculator?

Out the numbers 400, 982, 374, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.