GCD of 348, 386, 773, 420 Calculator

Given Input numbers are 348, 386, 773, 420

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 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 773

List of positive integer divisors of 773 that divides 773 without a remainder.

1, 773

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 348, 386, 773, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 386, 773, 420 is 1.

Therefore, GCD of numbers 348, 386, 773, 420 is 1

Given Input Data is 348, 386, 773, 420

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 386 is 2 x 193

Prime Factorization of 773 is 773

Prime Factorization of 420 is 2 x 2 x 3 x 5 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(348, 386) = 67164

GCD(348, 386) = ( 348 x 386 ) / 67164

GCD(348, 386) = 134328 / 67164

GCD(348, 386) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 773

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

LCM(2, 773) = 1546

GCD(2, 773) = ( 2 x 773 ) / 1546

GCD(2, 773) = 1546 / 1546

GCD(2, 773) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 348, 386, 773, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 998, 923, 815
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• GCD of 994, 831, 346, 678
• GCD of 474, 986, 386, 678

1. What is the GCD of 348, 386, 773, 420?

GCD of 348, 386, 773, 420 is 1

2. Where do I get the detailed procedure to find GCD of 348, 386, 773, 420?

You can find a detailed procedure to find GCD of 348, 386, 773, 420 on our page.

3. How to find GCD of 348, 386, 773, 420 on a calculator?

You can find the GCD of 348, 386, 773, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.