GCD of 395, 715, 920 Calculator

Given Input numbers are 395, 715, 920

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

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

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 (395, 715, 920) = 5.

Given numbers are 395, 715, 920

The list of prime factors of all numbers are

Prime factors of 395 are 5 x 79

Prime factors of 715 are 5 x 11 x 13

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

The highest common occurrence is 5¹

Therefore, GCD of 395, 715, 920 is 5.

Given numbers are 395, 715, 920

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

Apply this formula for all numbers.

Step1:

LCM(395, 715) = 56485

GCD(395, 715) = ( 395 x 715 ) / 56485

= 395 / 715

= 395

Step2:

LCM(5, 920) = 920

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

= 5 / 920

= 5

So, Greatest Common Divisor of 395, 715, 920 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 754, 572
• GCD of 926, 311, 120
• GCD of 427, 778, 250
• GCD of 619, 225, 799
• GCD of 443, 487, 310

Given numbers are 395, 715, 920
The greatest common divisor of numbers 395, 715, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 395, 715, 920 is 5.

1. What is the GCD of 395, 715, 920?

GCD of given numbers 395, 715, 920 is 5

2. How to calculate the greatest common divisor of 395, 715, 920?

We can find the highest common divisor of 395, 715, 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 395, 715, 920 i.e 5.

3. How can I use the GCD of 395, 715, 920Calculator?

Out the numbers 395, 715, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.