GCD of 720, 788, 600, 340 Calculator

Given Input numbers are 720, 788, 600, 340

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (720, 788, 600, 340) = 4.

Given numbers are 720, 788, 600, 340

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 788 are 2 x 2 x 197

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

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 2²

Therefore, GCD of 720, 788, 600, 340 is 4.

Given numbers are 720, 788, 600, 340

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

Apply this formula for all numbers.

Step1:

LCM(720, 788) = 141840

GCD(720, 788) = ( 720 x 788 ) / 141840

= 720 / 788

= 720

Step2:

LCM(4, 600) = 600

GCD(4, 600) = ( 4 x 600 ) / 600

= 4 / 600

= 4

Step3:

LCM(4, 340) = 340

GCD(4, 340) = ( 4 x 340 ) / 340

= 4 / 340

= 4

So, Greatest Common Divisor of 720, 788, 600, 340 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 313, 532, 793
• GCD of 767, 399, 908, 156
• GCD of 878, 772, 537, 518
• GCD of 743, 564, 344, 458
• GCD of 843, 156, 274, 685

Given numbers are 720, 788, 600, 340
The greatest common divisor of numbers 720, 788, 600, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 788, 600, 340 is 4.

1. What is the GCD of 720, 788, 600, 340?

GCD of given numbers 720, 788, 600, 340 is 4

2. How to calculate the greatest common divisor of 720, 788, 600, 340?

We can find the highest common divisor of 720, 788, 600, 340 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 720, 788, 600, 340 i.e 4.

3. How can I use the GCD of 720, 788, 600, 340Calculator?

Out the numbers 720, 788, 600, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.