GCD of 745, 467, 343, 138 Calculator

Given Input numbers are 745, 467, 343, 138

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 745, 467, 343, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 467, 343, 138 is 1.

Therefore, GCD of numbers 745, 467, 343, 138 is 1

Given Input Data is 745, 467, 343, 138

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 467 is 467

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 138 is 2 x 3 x 23

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(745, 467) = 347915

GCD(745, 467) = ( 745 x 467 ) / 347915

GCD(745, 467) = 347915 / 347915

GCD(745, 467) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 745, 467, 343, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 858, 785, 822
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• GCD of 830, 574, 592, 333

1. What is the GCD of 745, 467, 343, 138?

GCD of 745, 467, 343, 138 is 1

2. Where do I get the detailed procedure to find GCD of 745, 467, 343, 138?

You can find a detailed procedure to find GCD of 745, 467, 343, 138 on our page.

3. How to find GCD of 745, 467, 343, 138 on a calculator?

You can find the GCD of 745, 467, 343, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.