GCD of 338, 121, 456, 112 Calculator

Given Input numbers are 338, 121, 456, 112

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 121 :

The positive integer divisors of 121 that completely divides 121 are.

1, 11, 121

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 112 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (338, 121, 456, 112) = 1.

Given numbers are 338, 121, 456, 112

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 121 are 11 x 11

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

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

Given numbers are 338, 121, 456, 112

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

Apply this formula for all numbers.

Step1:

LCM(338, 121) = 40898

GCD(338, 121) = ( 338 x 121 ) / 40898

= 338 / 121

= 338

Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

Step3:

LCM(1, 112) = 112

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

= 1 / 112

= 1

So, Greatest Common Divisor of 338, 121, 456, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 140, 893, 262
• GCD of 179, 246, 153, 215
• GCD of 461, 852, 983, 770
• GCD of 254, 371, 799, 363
• GCD of 784, 782, 895, 209

Given numbers are 338, 121, 456, 112
The greatest common divisor of numbers 338, 121, 456, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 121, 456, 112 is 1.

1. What is the GCD of 338, 121, 456, 112?

GCD of given numbers 338, 121, 456, 112 is 1

2. How to calculate the greatest common divisor of 338, 121, 456, 112?

We can find the highest common divisor of 338, 121, 456, 112 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 338, 121, 456, 112 i.e 1.

3. How can I use the GCD of 338, 121, 456, 112Calculator?

Out the numbers 338, 121, 456, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.