GCD of 470, 686, 377, 252 Calculator

Given Input numbers are 470, 686, 377, 252

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 470, 686, 377, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 686, 377, 252 is 1.

Therefore, GCD of numbers 470, 686, 377, 252 is 1

Given Input Data is 470, 686, 377, 252

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 377 is 13 x 29

Prime Factorization of 252 is 2 x 2 x 3 x 3 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(470, 686) = 161210

GCD(470, 686) = ( 470 x 686 ) / 161210

GCD(470, 686) = 322420 / 161210

GCD(470, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 377

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

LCM(2, 377) = 754

GCD(2, 377) = ( 2 x 377 ) / 754

GCD(2, 377) = 754 / 754

GCD(2, 377) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 470, 686, 377, 252 is 1

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1. What is the GCD of 470, 686, 377, 252?

GCD of 470, 686, 377, 252 is 1

2. Where do I get the detailed procedure to find GCD of 470, 686, 377, 252?

You can find a detailed procedure to find GCD of 470, 686, 377, 252 on our page.

3. How to find GCD of 470, 686, 377, 252 on a calculator?

You can find the GCD of 470, 686, 377, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.