GCD of 795, 165, 295, 920 Calculator

Given Input numbers are 795, 165, 295, 920

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

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (795, 165, 295, 920) = 5.

Given numbers are 795, 165, 295, 920

The list of prime factors of all numbers are

Prime factors of 795 are 3 x 5 x 53

Prime factors of 165 are 3 x 5 x 11

Prime factors of 295 are 5 x 59

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

The highest common occurrence is 5¹

Therefore, GCD of 795, 165, 295, 920 is 5.

Given numbers are 795, 165, 295, 920

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

Apply this formula for all numbers.

Step1:

LCM(795, 165) = 8745

GCD(795, 165) = ( 795 x 165 ) / 8745

= 795 / 165

= 795

Step2:

LCM(15, 295) = 885

GCD(15, 295) = ( 15 x 295 ) / 885

= 15 / 295

= 15

Step3:

LCM(5, 920) = 920

GCD(5, 920) = ( 5 x 920 ) / 920

= 5 / 920

= 5

So, Greatest Common Divisor of 795, 165, 295, 920 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 697, 696, 232
• GCD of 864, 179, 466, 336
• GCD of 133, 577, 525, 215
• GCD of 594, 379, 334, 525
• GCD of 921, 563, 977, 162

Given numbers are 795, 165, 295, 920
The greatest common divisor of numbers 795, 165, 295, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 795, 165, 295, 920 is 5.

1. What is the GCD of 795, 165, 295, 920?

GCD of given numbers 795, 165, 295, 920 is 5

2. How to calculate the greatest common divisor of 795, 165, 295, 920?

We can find the highest common divisor of 795, 165, 295, 920 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 795, 165, 295, 920 i.e 5.

3. How can I use the GCD of 795, 165, 295, 920Calculator?

Out the numbers 795, 165, 295, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.