GCD of 550, 940, 86, 360 Calculator

Given Input numbers are 550, 940, 86, 360

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

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 550, 940, 86, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 550, 940, 86, 360 is 2.

Therefore, GCD of numbers 550, 940, 86, 360 is 2

Given Input Data is 550, 940, 86, 360

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

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 86 is 2 x 43

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(550, 940) = 51700

GCD(550, 940) = ( 550 x 940 ) / 51700

GCD(550, 940) = 517000 / 51700

GCD(550, 940) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 86

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

LCM(10, 86) = 430

GCD(10, 86) = ( 10 x 86 ) / 430

GCD(10, 86) = 860 / 430

GCD(10, 86) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

GCD of 550, 940, 86, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 916, 49, 970
• GCD of 361, 171, 32, 157
• GCD of 608, 712, 77, 283
• GCD of 698, 496, 52, 235
• GCD of 357, 787, 59, 155

1. What is the GCD of 550, 940, 86, 360?

GCD of 550, 940, 86, 360 is 2

2. Where do I get the detailed procedure to find GCD of 550, 940, 86, 360?

You can find a detailed procedure to find GCD of 550, 940, 86, 360 on our page.

3. How to find GCD of 550, 940, 86, 360 on a calculator?

You can find the GCD of 550, 940, 86, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.