GCD of 746, 142, 343, 997 Calculator

Given Input numbers are 746, 142, 343, 997

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

Divisors of 746

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

1, 2, 373, 746

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 343

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

1, 7, 49, 343

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Greatest Common Divisior

We found the divisors of 746, 142, 343, 997 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 142, 343, 997 is 1.

Therefore, GCD of numbers 746, 142, 343, 997 is 1

Given Input Data is 746, 142, 343, 997

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 142 is 2 x 71

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 997 is 997

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(746, 142) = 52966

GCD(746, 142) = ( 746 x 142 ) / 52966

GCD(746, 142) = 105932 / 52966

GCD(746, 142) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 343

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

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

GCD(2, 343) = 686 / 686

GCD(2, 343) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

GCD of 746, 142, 343, 997 is 1

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1. What is the GCD of 746, 142, 343, 997?

GCD of 746, 142, 343, 997 is 1

2. Where do I get the detailed procedure to find GCD of 746, 142, 343, 997?

You can find a detailed procedure to find GCD of 746, 142, 343, 997 on our page.

3. How to find GCD of 746, 142, 343, 997 on a calculator?

You can find the GCD of 746, 142, 343, 997 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.