GCD of 995, 505, 20, 109 Calculator

Given Input numbers are 995, 505, 20, 109

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (995, 505, 20, 109) = 1.

Given numbers are 995, 505, 20, 109

The list of prime factors of all numbers are

Prime factors of 995 are 5 x 199

Prime factors of 505 are 5 x 101

Prime factors of 20 are 2 x 2 x 5

Prime factors of 109 are 109

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

Given numbers are 995, 505, 20, 109

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

Apply this formula for all numbers.

Step1:

LCM(995, 505) = 100495

GCD(995, 505) = ( 995 x 505 ) / 100495

= 995 / 505

= 995

Step2:

LCM(5, 20) = 20

GCD(5, 20) = ( 5 x 20 ) / 20

= 5 / 20

= 5

Step3:

LCM(5, 109) = 545

GCD(5, 109) = ( 5 x 109 ) / 545

= 5 / 109

= 5

So, Greatest Common Divisor of 995, 505, 20, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 628, 45, 764
• GCD of 376, 974, 81, 779
• GCD of 535, 218, 66, 667
• GCD of 702, 724, 60, 293
• GCD of 574, 788, 33, 532

Given numbers are 995, 505, 20, 109
The greatest common divisor of numbers 995, 505, 20, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 995, 505, 20, 109 is 1.

1. What is the GCD of 995, 505, 20, 109?

GCD of given numbers 995, 505, 20, 109 is 1

2. How to calculate the greatest common divisor of 995, 505, 20, 109?

We can find the highest common divisor of 995, 505, 20, 109 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, 505, 20, 109 i.e 1.

3. How can I use the GCD of 995, 505, 20, 109Calculator?

Out the numbers 995, 505, 20, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.