GCD of 600, 795, 715, 280 Calculator

Given Input numbers are 600, 795, 715, 280

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 795 :

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

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

Divisors of 715 :

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

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (600, 795, 715, 280) = 5.

Given numbers are 600, 795, 715, 280

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 795 are 3 x 5 x 53

Prime factors of 715 are 5 x 11 x 13

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 600, 795, 715, 280 is 5.

Given numbers are 600, 795, 715, 280

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

Apply this formula for all numbers.

Step1:

LCM(600, 795) = 31800

GCD(600, 795) = ( 600 x 795 ) / 31800

= 600 / 795

= 600

Step2:

LCM(15, 715) = 2145

GCD(15, 715) = ( 15 x 715 ) / 2145

= 15 / 715

= 15

Step3:

LCM(5, 280) = 280

GCD(5, 280) = ( 5 x 280 ) / 280

= 5 / 280

= 5

So, Greatest Common Divisor of 600, 795, 715, 280 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 999, 854, 135
• GCD of 585, 757, 918, 710
• GCD of 381, 809, 814, 824
• GCD of 313, 302, 909, 656
• GCD of 250, 774, 890, 205

Given numbers are 600, 795, 715, 280
The greatest common divisor of numbers 600, 795, 715, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 795, 715, 280 is 5.

1. What is the GCD of 600, 795, 715, 280?

GCD of given numbers 600, 795, 715, 280 is 5

2. How to calculate the greatest common divisor of 600, 795, 715, 280?

We can find the highest common divisor of 600, 795, 715, 280 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 600, 795, 715, 280 i.e 5.

3. How can I use the GCD of 600, 795, 715, 280Calculator?

Out the numbers 600, 795, 715, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.