GCD of 794, 422, 720, 240 Calculator

Given Input numbers are 794, 422, 720, 240

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

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

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 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 (794, 422, 720, 240) = 2.

Given numbers are 794, 422, 720, 240

The list of prime factors of all numbers are

Prime factors of 794 are 2 x 397

Prime factors of 422 are 2 x 211

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

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

The highest common occurrence is 2¹

Therefore, GCD of 794, 422, 720, 240 is 2.

Given numbers are 794, 422, 720, 240

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

Apply this formula for all numbers.

Step1:

LCM(794, 422) = 167534

GCD(794, 422) = ( 794 x 422 ) / 167534

= 794 / 422

= 794

Step2:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 794, 422, 720, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 364, 245, 209, 410
• GCD of 749, 594, 995, 424
• GCD of 511, 194, 150, 987
• GCD of 785, 340, 238, 885
• GCD of 666, 818, 528, 637

Given numbers are 794, 422, 720, 240
The greatest common divisor of numbers 794, 422, 720, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 794, 422, 720, 240 is 2.

1. What is the GCD of 794, 422, 720, 240?

GCD of given numbers 794, 422, 720, 240 is 2

2. How to calculate the greatest common divisor of 794, 422, 720, 240?

We can find the highest common divisor of 794, 422, 720, 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 794, 422, 720, 240 i.e 2.

3. How can I use the GCD of 794, 422, 720, 240Calculator?

Out the numbers 794, 422, 720, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.