GCD of 200, 940, 496, 311 Calculator

Given Input numbers are 200, 940, 496, 311

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 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

GCD of numbers is the greatest common divisor

So, the GCD (200, 940, 496, 311) = 1.

Given numbers are 200, 940, 496, 311

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 940 are 2 x 2 x 5 x 47

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 311 are 311

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 200, 940, 496, 311

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

Apply this formula for all numbers.

Step1:

LCM(200, 940) = 9400

GCD(200, 940) = ( 200 x 940 ) / 9400

= 200 / 940

= 200

Step2:

LCM(20, 496) = 2480

GCD(20, 496) = ( 20 x 496 ) / 2480

= 20 / 496

= 20

Step3:

LCM(4, 311) = 1244

GCD(4, 311) = ( 4 x 311 ) / 1244

= 4 / 311

= 4

So, Greatest Common Divisor of 200, 940, 496, 311 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 671, 548, 266
• GCD of 552, 812, 151, 801
• GCD of 159, 549, 180, 429
• GCD of 196, 509, 983, 693
• GCD of 326, 313, 817, 989

Given numbers are 200, 940, 496, 311
The greatest common divisor of numbers 200, 940, 496, 311 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 940, 496, 311 is 1.

1. What is the GCD of 200, 940, 496, 311?

GCD of given numbers 200, 940, 496, 311 is 1

2. How to calculate the greatest common divisor of 200, 940, 496, 311?

We can find the highest common divisor of 200, 940, 496, 311 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, 940, 496, 311 i.e 1.

3. How can I use the GCD of 200, 940, 496, 311Calculator?

Out the numbers 200, 940, 496, 311 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.