GCD of 954, 803, 677, 470 Calculator

Given Input numbers are 954, 803, 677, 470

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 470

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

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

Greatest Common Divisior

We found the divisors of 954, 803, 677, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 803, 677, 470 is 1.

Therefore, GCD of numbers 954, 803, 677, 470 is 1

Given Input Data is 954, 803, 677, 470

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 803 is 11 x 73

Prime Factorization of 677 is 677

Prime Factorization of 470 is 2 x 5 x 47

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(954, 803) = 766062

GCD(954, 803) = ( 954 x 803 ) / 766062

GCD(954, 803) = 766062 / 766062

GCD(954, 803) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 954, 803, 677, 470 is 1

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1. What is the GCD of 954, 803, 677, 470?

GCD of 954, 803, 677, 470 is 1

2. Where do I get the detailed procedure to find GCD of 954, 803, 677, 470?

You can find a detailed procedure to find GCD of 954, 803, 677, 470 on our page.

3. How to find GCD of 954, 803, 677, 470 on a calculator?

You can find the GCD of 954, 803, 677, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.