GCD of 231, 314, 827, 200 Calculator

Given Input numbers are 231, 314, 827, 200

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

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

GCD of numbers is the greatest common divisor

So, the GCD (231, 314, 827, 200) = 1.

Given numbers are 231, 314, 827, 200

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 314 are 2 x 157

Prime factors of 827 are 827

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

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

Given numbers are 231, 314, 827, 200

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

Apply this formula for all numbers.

Step1:

LCM(231, 314) = 72534

GCD(231, 314) = ( 231 x 314 ) / 72534

= 231 / 314

= 231

Step2:

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

= 1 / 827

= 1

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 231, 314, 827, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 229, 125, 452
• GCD of 594, 598, 703, 336
• GCD of 153, 907, 300, 963
• GCD of 966, 665, 399, 700
• GCD of 310, 237, 472, 542

Given numbers are 231, 314, 827, 200
The greatest common divisor of numbers 231, 314, 827, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 314, 827, 200 is 1.

1. What is the GCD of 231, 314, 827, 200?

GCD of given numbers 231, 314, 827, 200 is 1

2. How to calculate the greatest common divisor of 231, 314, 827, 200?

We can find the highest common divisor of 231, 314, 827, 200 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 231, 314, 827, 200 i.e 1.

3. How can I use the GCD of 231, 314, 827, 200Calculator?

Out the numbers 231, 314, 827, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.