GCD of 966, 746, 50, 778 Calculator

Given Input numbers are 966, 746, 50, 778

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 966, 746, 50, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 746, 50, 778 is 2.

Therefore, GCD of numbers 966, 746, 50, 778 is 2

Given Input Data is 966, 746, 50, 778

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 746 is 2 x 373

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 778 is 2 x 389

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(966, 746) = 360318

GCD(966, 746) = ( 966 x 746 ) / 360318

GCD(966, 746) = 720636 / 360318

GCD(966, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

GCD of 966, 746, 50, 778 is 2

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1. What is the GCD of 966, 746, 50, 778?

GCD of 966, 746, 50, 778 is 2

2. Where do I get the detailed procedure to find GCD of 966, 746, 50, 778?

You can find a detailed procedure to find GCD of 966, 746, 50, 778 on our page.

3. How to find GCD of 966, 746, 50, 778 on a calculator?

You can find the GCD of 966, 746, 50, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.