GCD of 217, 438, 112, 120 Calculator

Given Input numbers are 217, 438, 112, 120

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

Divisors of 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 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 (217, 438, 112, 120) = 1.

Given numbers are 217, 438, 112, 120

The list of prime factors of all numbers are

Prime factors of 217 are 7 x 31

Prime factors of 438 are 2 x 3 x 73

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

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 217, 438, 112, 120

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

Apply this formula for all numbers.

Step1:

LCM(217, 438) = 95046

GCD(217, 438) = ( 217 x 438 ) / 95046

= 217 / 438

= 217

Step2:

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

= 1 / 112

= 1

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 217, 438, 112, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 840, 430, 377
• GCD of 301, 643, 321, 275
• GCD of 394, 525, 496, 732
• GCD of 454, 556, 318, 556
• GCD of 752, 754, 311, 603

Given numbers are 217, 438, 112, 120
The greatest common divisor of numbers 217, 438, 112, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 217, 438, 112, 120 is 1.

1. What is the GCD of 217, 438, 112, 120?

GCD of given numbers 217, 438, 112, 120 is 1

2. How to calculate the greatest common divisor of 217, 438, 112, 120?

We can find the highest common divisor of 217, 438, 112, 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 217, 438, 112, 120 i.e 1.

3. How can I use the GCD of 217, 438, 112, 120Calculator?

Out the numbers 217, 438, 112, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.