GCD of 112, 328, 497, 120 Calculator

Given Input numbers are 112, 328, 497, 120

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

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 (112, 328, 497, 120) = 1.

Given numbers are 112, 328, 497, 120

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 497 are 7 x 71

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 112, 328, 497, 120

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

Apply this formula for all numbers.

Step1:

LCM(112, 328) = 4592

GCD(112, 328) = ( 112 x 328 ) / 4592

= 112 / 328

= 112

Step2:

LCM(8, 497) = 3976

GCD(8, 497) = ( 8 x 497 ) / 3976

= 8 / 497

= 8

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 112, 328, 497, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 645, 515, 955
• GCD of 987, 637, 493, 549
• GCD of 827, 768, 465, 928
• GCD of 424, 863, 358, 463
• GCD of 418, 689, 641, 949

Given numbers are 112, 328, 497, 120
The greatest common divisor of numbers 112, 328, 497, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 328, 497, 120 is 1.

1. What is the GCD of 112, 328, 497, 120?

GCD of given numbers 112, 328, 497, 120 is 1

2. How to calculate the greatest common divisor of 112, 328, 497, 120?

We can find the highest common divisor of 112, 328, 497, 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 112, 328, 497, 120 i.e 1.

3. How can I use the GCD of 112, 328, 497, 120Calculator?

Out the numbers 112, 328, 497, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.