GCD of 428, 942, 652, 236 Calculator

Given Input numbers are 428, 942, 652, 236

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 236

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

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 428, 942, 652, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 942, 652, 236 is 2.

Therefore, GCD of numbers 428, 942, 652, 236 is 2

Given Input Data is 428, 942, 652, 236

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 236 is 2 x 2 x 59

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(428, 942) = 201588

GCD(428, 942) = ( 428 x 942 ) / 201588

GCD(428, 942) = 403176 / 201588

GCD(428, 942) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 236

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

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

GCD(2, 236) = 472 / 236

GCD(2, 236) = 2

GCD of 428, 942, 652, 236 is 2

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1. What is the GCD of 428, 942, 652, 236?

GCD of 428, 942, 652, 236 is 2

2. Where do I get the detailed procedure to find GCD of 428, 942, 652, 236?

You can find a detailed procedure to find GCD of 428, 942, 652, 236 on our page.

3. How to find GCD of 428, 942, 652, 236 on a calculator?

You can find the GCD of 428, 942, 652, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.