GCD of 500, 959, 315, 142 Calculator

Given Input numbers are 500, 959, 315, 142

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 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (500, 959, 315, 142) = 1.

Given numbers are 500, 959, 315, 142

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 959 are 7 x 137

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 142 are 2 x 71

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

Given numbers are 500, 959, 315, 142

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

Apply this formula for all numbers.

Step1:

LCM(500, 959) = 479500

GCD(500, 959) = ( 500 x 959 ) / 479500

= 500 / 959

= 500

Step2:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 500, 959, 315, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 306, 474, 501, 237
• GCD of 725, 951, 389, 308
• GCD of 165, 360, 178, 408
• GCD of 832, 597, 789, 654
• GCD of 841, 137, 312, 540

Given numbers are 500, 959, 315, 142
The greatest common divisor of numbers 500, 959, 315, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 959, 315, 142 is 1.

1. What is the GCD of 500, 959, 315, 142?

GCD of given numbers 500, 959, 315, 142 is 1

2. How to calculate the greatest common divisor of 500, 959, 315, 142?

We can find the highest common divisor of 500, 959, 315, 142 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, 959, 315, 142 i.e 1.

3. How can I use the GCD of 500, 959, 315, 142Calculator?

Out the numbers 500, 959, 315, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.