GCD of 722, 908, 120 Calculator

Given Input numbers are 722, 908, 120

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (722, 908, 120) = 2.

Given numbers are 722, 908, 120

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 908 are 2 x 2 x 227

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 722, 908, 120 is 2.

Given numbers are 722, 908, 120

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

Apply this formula for all numbers.

Step1:

LCM(722, 908) = 327788

GCD(722, 908) = ( 722 x 908 ) / 327788

= 722 / 908

= 722

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

So, Greatest Common Divisor of 722, 908, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 882, 746, 431
• GCD of 655, 773, 862
• GCD of 200, 289, 999
• GCD of 800, 530, 743
• GCD of 763, 492, 700

Given numbers are 722, 908, 120
The greatest common divisor of numbers 722, 908, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 908, 120 is 2.

1. What is the GCD of 722, 908, 120?

GCD of given numbers 722, 908, 120 is 2

2. How to calculate the greatest common divisor of 722, 908, 120?

We can find the highest common divisor of 722, 908, 120 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 722, 908, 120 i.e 2.

3. How can I use the GCD of 722, 908, 120Calculator?

Out the numbers 722, 908, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.