GCD of 348, 513, 974, 946 Calculator

Given Input numbers are 348, 513, 974, 946

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Greatest Common Divisior

We found the divisors of 348, 513, 974, 946 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 513, 974, 946 is 1.

Therefore, GCD of numbers 348, 513, 974, 946 is 1

Given Input Data is 348, 513, 974, 946

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 974 is 2 x 487

Prime Factorization of 946 is 2 x 11 x 43

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(348, 513) = 59508

GCD(348, 513) = ( 348 x 513 ) / 59508

GCD(348, 513) = 178524 / 59508

GCD(348, 513) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 974

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

LCM(3, 974) = 2922

GCD(3, 974) = ( 3 x 974 ) / 2922

GCD(3, 974) = 2922 / 2922

GCD(3, 974) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 946

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

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

GCD(1, 946) = 946 / 946

GCD(1, 946) = 1

GCD of 348, 513, 974, 946 is 1

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1. What is the GCD of 348, 513, 974, 946?

GCD of 348, 513, 974, 946 is 1

2. Where do I get the detailed procedure to find GCD of 348, 513, 974, 946?

You can find a detailed procedure to find GCD of 348, 513, 974, 946 on our page.

3. How to find GCD of 348, 513, 974, 946 on a calculator?

You can find the GCD of 348, 513, 974, 946 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.