GCD of 236, 712, 940, 454 Calculator

Given Input numbers are 236, 712, 940, 454

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

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

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 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 236, 712, 940, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 236, 712, 940, 454 is 2.

Therefore, GCD of numbers 236, 712, 940, 454 is 2

Given Input Data is 236, 712, 940, 454

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

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 712 is 2 x 2 x 2 x 89

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

Prime Factorization of 454 is 2 x 227

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(236, 712) = 42008

GCD(236, 712) = ( 236 x 712 ) / 42008

GCD(236, 712) = 168032 / 42008

GCD(236, 712) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 940

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

LCM(4, 940) = 940

GCD(4, 940) = ( 4 x 940 ) / 940

GCD(4, 940) = 3760 / 940

GCD(4, 940) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 454

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

LCM(4, 454) = 908

GCD(4, 454) = ( 4 x 454 ) / 908

GCD(4, 454) = 1816 / 908

GCD(4, 454) = 2

GCD of 236, 712, 940, 454 is 2

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• GCD of 635, 274, 312, 970
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• GCD of 973, 444, 568, 572

1. What is the GCD of 236, 712, 940, 454?

GCD of 236, 712, 940, 454 is 2

2. Where do I get the detailed procedure to find GCD of 236, 712, 940, 454?

You can find a detailed procedure to find GCD of 236, 712, 940, 454 on our page.

3. How to find GCD of 236, 712, 940, 454 on a calculator?

You can find the GCD of 236, 712, 940, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.