GCD of 735, 920, 500, 395 Calculator

Given Input numbers are 735, 920, 500, 395

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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

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 395 :

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

1, 5, 79, 395

GCD of numbers is the greatest common divisor

So, the GCD (735, 920, 500, 395) = 5.

Given numbers are 735, 920, 500, 395

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

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

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

Prime factors of 395 are 5 x 79

The highest common occurrence is 5¹

Therefore, GCD of 735, 920, 500, 395 is 5.

Given numbers are 735, 920, 500, 395

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

Apply this formula for all numbers.

Step1:

LCM(735, 920) = 135240

GCD(735, 920) = ( 735 x 920 ) / 135240

= 735 / 920

= 735

Step2:

LCM(5, 500) = 500

GCD(5, 500) = ( 5 x 500 ) / 500

= 5 / 500

= 5

Step3:

LCM(5, 395) = 395

GCD(5, 395) = ( 5 x 395 ) / 395

= 5 / 395

= 5

So, Greatest Common Divisor of 735, 920, 500, 395 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 761, 305, 841, 301
• GCD of 860, 932, 222, 182
• GCD of 894, 670, 490, 667
• GCD of 111, 345, 544, 973
• GCD of 798, 362, 413, 147

Given numbers are 735, 920, 500, 395
The greatest common divisor of numbers 735, 920, 500, 395 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 920, 500, 395 is 5.

1. What is the GCD of 735, 920, 500, 395?

GCD of given numbers 735, 920, 500, 395 is 5

2. How to calculate the greatest common divisor of 735, 920, 500, 395?

We can find the highest common divisor of 735, 920, 500, 395 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 735, 920, 500, 395 i.e 5.

3. How can I use the GCD of 735, 920, 500, 395Calculator?

Out the numbers 735, 920, 500, 395 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.