GCD of 946, 950, 774, 448 Calculator

Given Input numbers are 946, 950, 774, 448

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Greatest Common Divisior

We found the divisors of 946, 950, 774, 448 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 950, 774, 448 is 2.

Therefore, GCD of numbers 946, 950, 774, 448 is 2

Given Input Data is 946, 950, 774, 448

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

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(946, 950) = 449350

GCD(946, 950) = ( 946 x 950 ) / 449350

GCD(946, 950) = 898700 / 449350

GCD(946, 950) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

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

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 448

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

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

GCD(2, 448) = 896 / 448

GCD(2, 448) = 2

GCD of 946, 950, 774, 448 is 2

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1. What is the GCD of 946, 950, 774, 448?

GCD of 946, 950, 774, 448 is 2

2. Where do I get the detailed procedure to find GCD of 946, 950, 774, 448?

You can find a detailed procedure to find GCD of 946, 950, 774, 448 on our page.

3. How to find GCD of 946, 950, 774, 448 on a calculator?

You can find the GCD of 946, 950, 774, 448 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.