GCD of 200, 380, 956, 400 Calculator

Given Input numbers are 200, 380, 956, 400

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

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 (200, 380, 956, 400) = 4.

Given numbers are 200, 380, 956, 400

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 956 are 2 x 2 x 239

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

The highest common occurrence is 2²

Therefore, GCD of 200, 380, 956, 400 is 4.

Given numbers are 200, 380, 956, 400

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

Apply this formula for all numbers.

Step1:

LCM(200, 380) = 3800

GCD(200, 380) = ( 200 x 380 ) / 3800

= 200 / 380

= 200

Step2:

LCM(20, 956) = 4780

GCD(20, 956) = ( 20 x 956 ) / 4780

= 20 / 956

= 20

Step3:

LCM(4, 400) = 400

GCD(4, 400) = ( 4 x 400 ) / 400

= 4 / 400

= 4

So, Greatest Common Divisor of 200, 380, 956, 400 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 612, 977, 267
• GCD of 568, 509, 991, 998
• GCD of 811, 245, 410, 612
• GCD of 105, 383, 606, 392
• GCD of 834, 458, 581, 178

Given numbers are 200, 380, 956, 400
The greatest common divisor of numbers 200, 380, 956, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 380, 956, 400 is 4.

1. What is the GCD of 200, 380, 956, 400?

GCD of given numbers 200, 380, 956, 400 is 4

2. How to calculate the greatest common divisor of 200, 380, 956, 400?

We can find the highest common divisor of 200, 380, 956, 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 200, 380, 956, 400 i.e 4.

3. How can I use the GCD of 200, 380, 956, 400Calculator?

Out the numbers 200, 380, 956, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.