GCD of 528, 114, 60, 236 Calculator

Given Input numbers are 528, 114, 60, 236

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

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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 528, 114, 60, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 528, 114, 60, 236 is 2.

Therefore, GCD of numbers 528, 114, 60, 236 is 2

Given Input Data is 528, 114, 60, 236

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

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 60 is 2 x 2 x 3 x 5

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(528, 114) = 10032

GCD(528, 114) = ( 528 x 114 ) / 10032

GCD(528, 114) = 60192 / 10032

GCD(528, 114) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 60

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

LCM(6, 60) = 60

GCD(6, 60) = ( 6 x 60 ) / 60

GCD(6, 60) = 360 / 60

GCD(6, 60) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 236

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

LCM(6, 236) = 708

GCD(6, 236) = ( 6 x 236 ) / 708

GCD(6, 236) = 1416 / 708

GCD(6, 236) = 2

GCD of 528, 114, 60, 236 is 2

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• GCD of 445, 775, 72, 595
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1. What is the GCD of 528, 114, 60, 236?

GCD of 528, 114, 60, 236 is 2

2. Where do I get the detailed procedure to find GCD of 528, 114, 60, 236?

You can find a detailed procedure to find GCD of 528, 114, 60, 236 on our page.

3. How to find GCD of 528, 114, 60, 236 on a calculator?

You can find the GCD of 528, 114, 60, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.