GCD of 470, 914, 651, 914 Calculator

Given Input numbers are 470, 914, 651, 914

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 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Greatest Common Divisior

We found the divisors of 470, 914, 651, 914 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 914, 651, 914 is 1.

Therefore, GCD of numbers 470, 914, 651, 914 is 1

Given Input Data is 470, 914, 651, 914

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 914 is 2 x 457

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 914 is 2 x 457

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, 914) = 214790

GCD(470, 914) = ( 470 x 914 ) / 214790

GCD(470, 914) = 429580 / 214790

GCD(470, 914) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 651

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

LCM(2, 651) = 1302

GCD(2, 651) = ( 2 x 651 ) / 1302

GCD(2, 651) = 1302 / 1302

GCD(2, 651) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 914

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

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

GCD(1, 914) = 914 / 914

GCD(1, 914) = 1

GCD of 470, 914, 651, 914 is 1

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1. What is the GCD of 470, 914, 651, 914?

GCD of 470, 914, 651, 914 is 1

2. Where do I get the detailed procedure to find GCD of 470, 914, 651, 914?

You can find a detailed procedure to find GCD of 470, 914, 651, 914 on our page.

3. How to find GCD of 470, 914, 651, 914 on a calculator?

You can find the GCD of 470, 914, 651, 914 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.