GCD of 500, 829, 970, 946 Calculator

Given Input numbers are 500, 829, 970, 946

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 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 970 :

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

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

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

GCD of numbers is the greatest common divisor

So, the GCD (500, 829, 970, 946) = 1.

Given numbers are 500, 829, 970, 946

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 829 are 829

Prime factors of 970 are 2 x 5 x 97

Prime factors of 946 are 2 x 11 x 43

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

Given numbers are 500, 829, 970, 946

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

Apply this formula for all numbers.

Step1:

LCM(500, 829) = 414500

GCD(500, 829) = ( 500 x 829 ) / 414500

= 500 / 829

= 500

Step2:

LCM(1, 970) = 970

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

= 1 / 970

= 1

Step3:

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

= 1 / 946

= 1

So, Greatest Common Divisor of 500, 829, 970, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 948, 241, 411
• GCD of 885, 744, 720, 180
• GCD of 274, 913, 989, 683
• GCD of 312, 570, 816, 982
• GCD of 680, 176, 484, 287

Given numbers are 500, 829, 970, 946
The greatest common divisor of numbers 500, 829, 970, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 829, 970, 946 is 1.

1. What is the GCD of 500, 829, 970, 946?

GCD of given numbers 500, 829, 970, 946 is 1

2. How to calculate the greatest common divisor of 500, 829, 970, 946?

We can find the highest common divisor of 500, 829, 970, 946 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, 829, 970, 946 i.e 1.

3. How can I use the GCD of 500, 829, 970, 946Calculator?

Out the numbers 500, 829, 970, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.