GCD of 500, 735, 794, 964 Calculator

Given Input numbers are 500, 735, 794, 964

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 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (500, 735, 794, 964) = 1.

Given numbers are 500, 735, 794, 964

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 735 are 3 x 5 x 7 x 7

Prime factors of 794 are 2 x 397

Prime factors of 964 are 2 x 2 x 241

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

Given numbers are 500, 735, 794, 964

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

Apply this formula for all numbers.

Step1:

LCM(500, 735) = 73500

GCD(500, 735) = ( 500 x 735 ) / 73500

= 500 / 735

= 500

Step2:

LCM(5, 794) = 3970

GCD(5, 794) = ( 5 x 794 ) / 3970

= 5 / 794

= 5

Step3:

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

= 1 / 964

= 1

So, Greatest Common Divisor of 500, 735, 794, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 759, 156, 360, 399
• GCD of 930, 707, 452, 992
• GCD of 126, 364, 502, 749
• GCD of 171, 827, 562, 596
• GCD of 899, 823, 891, 733

Given numbers are 500, 735, 794, 964
The greatest common divisor of numbers 500, 735, 794, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 735, 794, 964 is 1.

1. What is the GCD of 500, 735, 794, 964?

GCD of given numbers 500, 735, 794, 964 is 1

2. How to calculate the greatest common divisor of 500, 735, 794, 964?

We can find the highest common divisor of 500, 735, 794, 964 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, 735, 794, 964 i.e 1.

3. How can I use the GCD of 500, 735, 794, 964Calculator?

Out the numbers 500, 735, 794, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.