GCD of 940, 882, 814, 600 Calculator

Given Input numbers are 940, 882, 814, 600

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

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 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Greatest Common Divisior

We found the divisors of 940, 882, 814, 600 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 882, 814, 600 is 2.

Therefore, GCD of numbers 940, 882, 814, 600 is 2

Given Input Data is 940, 882, 814, 600

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

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 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(940, 882) = 414540

GCD(940, 882) = ( 940 x 882 ) / 414540

GCD(940, 882) = 829080 / 414540

GCD(940, 882) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 814

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

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

GCD(2, 814) = 1628 / 814

GCD(2, 814) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 600

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

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

GCD(2, 600) = 1200 / 600

GCD(2, 600) = 2

GCD of 940, 882, 814, 600 is 2

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1. What is the GCD of 940, 882, 814, 600?

GCD of 940, 882, 814, 600 is 2

2. Where do I get the detailed procedure to find GCD of 940, 882, 814, 600?

You can find a detailed procedure to find GCD of 940, 882, 814, 600 on our page.

3. How to find GCD of 940, 882, 814, 600 on a calculator?

You can find the GCD of 940, 882, 814, 600 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.