GCD of 995, 500, 15, 965 Calculator

Given Input numbers are 995, 500, 15, 965

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

Divisors of 995 :

The positive integer divisors of 995 that completely divides 995 are.

1, 5, 199, 995

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 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (995, 500, 15, 965) = 5.

Given numbers are 995, 500, 15, 965

The list of prime factors of all numbers are

Prime factors of 995 are 5 x 199

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

Prime factors of 15 are 3 x 5

Prime factors of 965 are 5 x 193

The highest common occurrence is 5¹

Therefore, GCD of 995, 500, 15, 965 is 5.

Given numbers are 995, 500, 15, 965

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

Apply this formula for all numbers.

Step1:

LCM(995, 500) = 99500

GCD(995, 500) = ( 995 x 500 ) / 99500

= 995 / 500

= 995

Step2:

LCM(5, 15) = 15

GCD(5, 15) = ( 5 x 15 ) / 15

= 5 / 15

= 5

Step3:

LCM(5, 965) = 965

GCD(5, 965) = ( 5 x 965 ) / 965

= 5 / 965

= 5

So, Greatest Common Divisor of 995, 500, 15, 965 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 224, 966, 26, 299
• GCD of 593, 565, 35, 405
• GCD of 323, 951, 47, 947
• GCD of 672, 424, 50, 471
• GCD of 791, 559, 37, 676

Given numbers are 995, 500, 15, 965
The greatest common divisor of numbers 995, 500, 15, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 995, 500, 15, 965 is 5.

1. What is the GCD of 995, 500, 15, 965?

GCD of given numbers 995, 500, 15, 965 is 5

2. How to calculate the greatest common divisor of 995, 500, 15, 965?

We can find the highest common divisor of 995, 500, 15, 965 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 995, 500, 15, 965 i.e 5.

3. How can I use the GCD of 995, 500, 15, 965Calculator?

Out the numbers 995, 500, 15, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.