GCD of 600, 780, 240 Calculator

Given Input numbers are 600, 780, 240

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (600, 780, 240) = 60.

Given numbers are 600, 780, 240

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 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2² x 3¹ x 5¹

Therefore, GCD of 600, 780, 240 is 60.

Given numbers are 600, 780, 240

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

Apply this formula for all numbers.

Step1:

LCM(600, 780) = 7800

GCD(600, 780) = ( 600 x 780 ) / 7800

= 600 / 780

= 600

Step2:

LCM(60, 240) = 240

GCD(60, 240) = ( 60 x 240 ) / 240

= 60 / 240

= 60

So, Greatest Common Divisor of 600, 780, 240 is 60

Here are some samples of GCD of Numbers calculations.

• GCD of 393, 941, 305
• GCD of 799, 868, 977
• GCD of 917, 258, 876
• GCD of 198, 341, 117
• GCD of 621, 208, 338

Given numbers are 600, 780, 240
The greatest common divisor of numbers 600, 780, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 780, 240 is 60.

1. What is the GCD of 600, 780, 240?

GCD of given numbers 600, 780, 240 is 60

2. How to calculate the greatest common divisor of 600, 780, 240?

We can find the highest common divisor of 600, 780, 240 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, 780, 240 i.e 60.

3. How can I use the GCD of 600, 780, 240Calculator?

Out the numbers 600, 780, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.