GCD of 254, 712, 76, 978 Calculator

Given Input numbers are 254, 712, 76, 978

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 978

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

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

Greatest Common Divisior

We found the divisors of 254, 712, 76, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 712, 76, 978 is 2.

Therefore, GCD of numbers 254, 712, 76, 978 is 2

Given Input Data is 254, 712, 76, 978

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 978 is 2 x 3 x 163

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(254, 712) = 90424

GCD(254, 712) = ( 254 x 712 ) / 90424

GCD(254, 712) = 180848 / 90424

GCD(254, 712) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 978

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

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

GCD(2, 978) = 1956 / 978

GCD(2, 978) = 2

GCD of 254, 712, 76, 978 is 2

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1. What is the GCD of 254, 712, 76, 978?

GCD of 254, 712, 76, 978 is 2

2. Where do I get the detailed procedure to find GCD of 254, 712, 76, 978?

You can find a detailed procedure to find GCD of 254, 712, 76, 978 on our page.

3. How to find GCD of 254, 712, 76, 978 on a calculator?

You can find the GCD of 254, 712, 76, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.