GCD of 500, 495, 10, 760 Calculator

Given Input numbers are 500, 495, 10, 760

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 495 :

The positive integer divisors of 495 that completely divides 495 are.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (500, 495, 10, 760) = 5.

Given numbers are 500, 495, 10, 760

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 495 are 3 x 3 x 5 x 11

Prime factors of 10 are 2 x 5

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

The highest common occurrence is 5¹

Therefore, GCD of 500, 495, 10, 760 is 5.

Given numbers are 500, 495, 10, 760

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

Apply this formula for all numbers.

Step1:

LCM(500, 495) = 49500

GCD(500, 495) = ( 500 x 495 ) / 49500

= 500 / 495

= 500

Step2:

LCM(5, 10) = 10

GCD(5, 10) = ( 5 x 10 ) / 10

= 5 / 10

= 5

Step3:

LCM(5, 760) = 760

GCD(5, 760) = ( 5 x 760 ) / 760

= 5 / 760

= 5

So, Greatest Common Divisor of 500, 495, 10, 760 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 938, 96, 854
• GCD of 126, 867, 97, 770
• GCD of 617, 330, 96, 802
• GCD of 840, 640, 60, 721
• GCD of 757, 278, 22, 793

Given numbers are 500, 495, 10, 760
The greatest common divisor of numbers 500, 495, 10, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 495, 10, 760 is 5.

1. What is the GCD of 500, 495, 10, 760?

GCD of given numbers 500, 495, 10, 760 is 5

2. How to calculate the greatest common divisor of 500, 495, 10, 760?

We can find the highest common divisor of 500, 495, 10, 760 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, 495, 10, 760 i.e 5.

3. How can I use the GCD of 500, 495, 10, 760Calculator?

Out the numbers 500, 495, 10, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.