GCD of 726, 850, 798, 978 Calculator

Given Input numbers are 726, 850, 798, 978

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

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 726, 850, 798, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 850, 798, 978 is 2.

Therefore, GCD of numbers 726, 850, 798, 978 is 2

Given Input Data is 726, 850, 798, 978

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 798 is 2 x 3 x 7 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(726, 850) = 308550

GCD(726, 850) = ( 726 x 850 ) / 308550

GCD(726, 850) = 617100 / 308550

GCD(726, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 798

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

LCM(2, 798) = 798

GCD(2, 798) = ( 2 x 798 ) / 798

GCD(2, 798) = 1596 / 798

GCD(2, 798) = 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 726, 850, 798, 978 is 2

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1. What is the GCD of 726, 850, 798, 978?

GCD of 726, 850, 798, 978 is 2

2. Where do I get the detailed procedure to find GCD of 726, 850, 798, 978?

You can find a detailed procedure to find GCD of 726, 850, 798, 978 on our page.

3. How to find GCD of 726, 850, 798, 978 on a calculator?

You can find the GCD of 726, 850, 798, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.