GCD of 372, 116, 120, 704 Calculator

Given Input numbers are 372, 116, 120, 704

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (372, 116, 120, 704) = 4.

Given numbers are 372, 116, 120, 704

The list of prime factors of all numbers are

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 116 are 2 x 2 x 29

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2²

Therefore, GCD of 372, 116, 120, 704 is 4.

Given numbers are 372, 116, 120, 704

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

Apply this formula for all numbers.

Step1:

LCM(372, 116) = 10788

GCD(372, 116) = ( 372 x 116 ) / 10788

= 372 / 116

= 372

Step2:

LCM(4, 120) = 120

GCD(4, 120) = ( 4 x 120 ) / 120

= 4 / 120

= 4

Step3:

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

= 4 / 704

= 4

So, Greatest Common Divisor of 372, 116, 120, 704 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 815, 585, 282, 369
• GCD of 510, 218, 458, 178
• GCD of 201, 400, 418, 819
• GCD of 612, 217, 727, 473
• GCD of 299, 879, 832, 549

Given numbers are 372, 116, 120, 704
The greatest common divisor of numbers 372, 116, 120, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 372, 116, 120, 704 is 4.

1. What is the GCD of 372, 116, 120, 704?

GCD of given numbers 372, 116, 120, 704 is 4

2. How to calculate the greatest common divisor of 372, 116, 120, 704?

We can find the highest common divisor of 372, 116, 120, 704 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 372, 116, 120, 704 i.e 4.

3. How can I use the GCD of 372, 116, 120, 704Calculator?

Out the numbers 372, 116, 120, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.