GCD of 118, 704, 232, 180 Calculator

Given Input numbers are 118, 704, 232, 180

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

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

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (118, 704, 232, 180) = 2.

Given numbers are 118, 704, 232, 180

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

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

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 118, 704, 232, 180 is 2.

Given numbers are 118, 704, 232, 180

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

Apply this formula for all numbers.

Step1:

LCM(118, 704) = 41536

GCD(118, 704) = ( 118 x 704 ) / 41536

= 118 / 704

= 118

Step2:

LCM(2, 232) = 232

GCD(2, 232) = ( 2 x 232 ) / 232

= 2 / 232

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 118, 704, 232, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 670, 717, 496
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Given numbers are 118, 704, 232, 180
The greatest common divisor of numbers 118, 704, 232, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 704, 232, 180 is 2.

1. What is the GCD of 118, 704, 232, 180?

GCD of given numbers 118, 704, 232, 180 is 2

2. How to calculate the greatest common divisor of 118, 704, 232, 180?

We can find the highest common divisor of 118, 704, 232, 180 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 118, 704, 232, 180 i.e 2.

3. How can I use the GCD of 118, 704, 232, 180Calculator?

Out the numbers 118, 704, 232, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.