GCD of 131, 314, 600, 563 Calculator

Given Input numbers are 131, 314, 600, 563

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

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 314 :

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

1, 2, 157, 314

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 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

GCD of numbers is the greatest common divisor

So, the GCD (131, 314, 600, 563) = 1.

Given numbers are 131, 314, 600, 563

The list of prime factors of all numbers are

Prime factors of 131 are 131

Prime factors of 314 are 2 x 157

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

Prime factors of 563 are 563

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

Given numbers are 131, 314, 600, 563

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

Apply this formula for all numbers.

Step1:

LCM(131, 314) = 41134

GCD(131, 314) = ( 131 x 314 ) / 41134

= 131 / 314

= 131

Step2:

LCM(1, 600) = 600

GCD(1, 600) = ( 1 x 600 ) / 600

= 1 / 600

= 1

Step3:

LCM(1, 563) = 563

GCD(1, 563) = ( 1 x 563 ) / 563

= 1 / 563

= 1

So, Greatest Common Divisor of 131, 314, 600, 563 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 118, 588, 250
• GCD of 595, 166, 361, 920
• GCD of 391, 277, 195, 547
• GCD of 136, 821, 971, 494
• GCD of 943, 838, 794, 233

Given numbers are 131, 314, 600, 563
The greatest common divisor of numbers 131, 314, 600, 563 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 131, 314, 600, 563 is 1.

1. What is the GCD of 131, 314, 600, 563?

GCD of given numbers 131, 314, 600, 563 is 1

2. How to calculate the greatest common divisor of 131, 314, 600, 563?

We can find the highest common divisor of 131, 314, 600, 563 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 131, 314, 600, 563 i.e 1.

3. How can I use the GCD of 131, 314, 600, 563Calculator?

Out the numbers 131, 314, 600, 563 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.