GCD of 337, 746, 664, 112 Calculator

Given Input numbers are 337, 746, 664, 112

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

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

Greatest Common Divisior

We found the divisors of 337, 746, 664, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 746, 664, 112 is 1.

Therefore, GCD of numbers 337, 746, 664, 112 is 1

Given Input Data is 337, 746, 664, 112

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 337 is 337

Prime Factorization of 746 is 2 x 373

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(337, 746) = 251402

GCD(337, 746) = ( 337 x 746 ) / 251402

GCD(337, 746) = 251402 / 251402

GCD(337, 746) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

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

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 337, 746, 664, 112 is 1

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1. What is the GCD of 337, 746, 664, 112?

GCD of 337, 746, 664, 112 is 1

2. Where do I get the detailed procedure to find GCD of 337, 746, 664, 112?

You can find a detailed procedure to find GCD of 337, 746, 664, 112 on our page.

3. How to find GCD of 337, 746, 664, 112 on a calculator?

You can find the GCD of 337, 746, 664, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.