GCD of 343, 701, 57, 295 Calculator

Given Input numbers are 343, 701, 57, 295

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

Divisors of 343

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

1, 7, 49, 343

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Greatest Common Divisior

We found the divisors of 343, 701, 57, 295 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 701, 57, 295 is 1.

Therefore, GCD of numbers 343, 701, 57, 295 is 1

Given Input Data is 343, 701, 57, 295

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

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 701 is 701

Prime Factorization of 57 is 3 x 19

Prime Factorization of 295 is 5 x 59

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(343, 701) = 240443

GCD(343, 701) = ( 343 x 701 ) / 240443

GCD(343, 701) = 240443 / 240443

GCD(343, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 57

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

LCM(1, 57) = 57

GCD(1, 57) = ( 1 x 57 ) / 57

GCD(1, 57) = 57 / 57

GCD(1, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 295

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

LCM(1, 295) = 295

GCD(1, 295) = ( 1 x 295 ) / 295

GCD(1, 295) = 295 / 295

GCD(1, 295) = 1

GCD of 343, 701, 57, 295 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 172, 58, 670
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• GCD of 686, 988, 74, 544

1. What is the GCD of 343, 701, 57, 295?

GCD of 343, 701, 57, 295 is 1

2. Where do I get the detailed procedure to find GCD of 343, 701, 57, 295?

You can find a detailed procedure to find GCD of 343, 701, 57, 295 on our page.

3. How to find GCD of 343, 701, 57, 295 on a calculator?

You can find the GCD of 343, 701, 57, 295 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.