GCD of 454, 770, 75, 109 Calculator

Given Input numbers are 454, 770, 75, 109

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Greatest Common Divisior

We found the divisors of 454, 770, 75, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 770, 75, 109 is 1.

Therefore, GCD of numbers 454, 770, 75, 109 is 1

Given Input Data is 454, 770, 75, 109

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 109 is 109

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(454, 770) = 174790

GCD(454, 770) = ( 454 x 770 ) / 174790

GCD(454, 770) = 349580 / 174790

GCD(454, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 75

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

LCM(2, 75) = 150

GCD(2, 75) = ( 2 x 75 ) / 150

GCD(2, 75) = 150 / 150

GCD(2, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

GCD of 454, 770, 75, 109 is 1

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1. What is the GCD of 454, 770, 75, 109?

GCD of 454, 770, 75, 109 is 1

2. Where do I get the detailed procedure to find GCD of 454, 770, 75, 109?

You can find a detailed procedure to find GCD of 454, 770, 75, 109 on our page.

3. How to find GCD of 454, 770, 75, 109 on a calculator?

You can find the GCD of 454, 770, 75, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.