GCD of 45, 978, 914, 269 Calculator

Given Input numbers are 45, 978, 914, 269

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

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 914

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

1, 2, 457, 914

Divisors of 269

List of positive integer divisors of 269 that divides 269 without a remainder.

1, 269

Greatest Common Divisior

We found the divisors of 45, 978, 914, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 978, 914, 269 is 1.

Therefore, GCD of numbers 45, 978, 914, 269 is 1

Given Input Data is 45, 978, 914, 269

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 914 is 2 x 457

Prime Factorization of 269 is 269

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(45, 978) = 14670

GCD(45, 978) = ( 45 x 978 ) / 14670

GCD(45, 978) = 44010 / 14670

GCD(45, 978) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 914

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

LCM(3, 914) = 2742

GCD(3, 914) = ( 3 x 914 ) / 2742

GCD(3, 914) = 2742 / 2742

GCD(3, 914) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 269

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

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

GCD(1, 269) = 269 / 269

GCD(1, 269) = 1

GCD of 45, 978, 914, 269 is 1

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1. What is the GCD of 45, 978, 914, 269?

GCD of 45, 978, 914, 269 is 1

2. Where do I get the detailed procedure to find GCD of 45, 978, 914, 269?

You can find a detailed procedure to find GCD of 45, 978, 914, 269 on our page.

3. How to find GCD of 45, 978, 914, 269 on a calculator?

You can find the GCD of 45, 978, 914, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.