GCD of 462, 974, 78, 978 Calculator

Given Input numbers are 462, 974, 78, 978

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

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 462, 974, 78, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 462, 974, 78, 978 is 2.

Therefore, GCD of numbers 462, 974, 78, 978 is 2

Given Input Data is 462, 974, 78, 978

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

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 974 is 2 x 487

Prime Factorization of 78 is 2 x 3 x 13

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(462, 974) = 224994

GCD(462, 974) = ( 462 x 974 ) / 224994

GCD(462, 974) = 449988 / 224994

GCD(462, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 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 462, 974, 78, 978 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 146, 82, 699
• GCD of 774, 666, 72, 147
• GCD of 354, 610, 88, 734
• GCD of 592, 539, 24, 700
• GCD of 516, 838, 77, 932

1. What is the GCD of 462, 974, 78, 978?

GCD of 462, 974, 78, 978 is 2

2. Where do I get the detailed procedure to find GCD of 462, 974, 78, 978?

You can find a detailed procedure to find GCD of 462, 974, 78, 978 on our page.

3. How to find GCD of 462, 974, 78, 978 on a calculator?

You can find the GCD of 462, 974, 78, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.