GCD of 950, 548, 414 Calculator

Given Input numbers are 950, 548, 414

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

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 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 950, 548, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 548, 414 is 2.

Therefore, GCD of numbers 950, 548, 414 is 2

Given Input Data is 950, 548, 414

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

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(950, 548) = 260300

GCD(950, 548) = ( 950 x 548 ) / 260300

GCD(950, 548) = 520600 / 260300

GCD(950, 548) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 414

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

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

GCD(2, 414) = 828 / 414

GCD(2, 414) = 2

GCD of 950, 548, 414 is 2

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1. What is the GCD of 950, 548, 414?

GCD of 950, 548, 414 is 2

2. Where do I get the detailed procedure to find GCD of 950, 548, 414?

You can find a detailed procedure to find GCD of 950, 548, 414 on our page.

3. How to find GCD of 950, 548, 414 on a calculator?

You can find the GCD of 950, 548, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.