GCD of 500, 712, 271, 970 Calculator

Given Input numbers are 500, 712, 271, 970

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

GCD of numbers is the greatest common divisor

So, the GCD (500, 712, 271, 970) = 1.

Given numbers are 500, 712, 271, 970

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 271 are 271

Prime factors of 970 are 2 x 5 x 97

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

Given numbers are 500, 712, 271, 970

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

Apply this formula for all numbers.

Step1:

LCM(500, 712) = 89000

GCD(500, 712) = ( 500 x 712 ) / 89000

= 500 / 712

= 500

Step2:

LCM(4, 271) = 1084

GCD(4, 271) = ( 4 x 271 ) / 1084

= 4 / 271

= 4

Step3:

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

= 1 / 970

= 1

So, Greatest Common Divisor of 500, 712, 271, 970 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 769, 994, 118
• GCD of 373, 715, 174, 719
• GCD of 267, 452, 948, 329
• GCD of 842, 687, 371, 515
• GCD of 526, 829, 202, 845

Given numbers are 500, 712, 271, 970
The greatest common divisor of numbers 500, 712, 271, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 712, 271, 970 is 1.

1. What is the GCD of 500, 712, 271, 970?

GCD of given numbers 500, 712, 271, 970 is 1

2. How to calculate the greatest common divisor of 500, 712, 271, 970?

We can find the highest common divisor of 500, 712, 271, 970 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 500, 712, 271, 970 i.e 1.

3. How can I use the GCD of 500, 712, 271, 970Calculator?

Out the numbers 500, 712, 271, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.