GCD of 948, 852, 60, 768 Calculator

Given Input numbers are 948, 852, 60, 768

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Greatest Common Divisior

We found the divisors of 948, 852, 60, 768 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 852, 60, 768 is 12.

Therefore, GCD of numbers 948, 852, 60, 768 is 12

Given Input Data is 948, 852, 60, 768

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 852 is 2 x 2 x 3 x 71

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

Prime Factorization of 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Highest common occurrences in the given inputs are 2² x 3¹

Multiplying them we get the GCD as 12

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(948, 852) = 67308

GCD(948, 852) = ( 948 x 852 ) / 67308

GCD(948, 852) = 807696 / 67308

GCD(948, 852) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 60

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

LCM(12, 60) = 60

GCD(12, 60) = ( 12 x 60 ) / 60

GCD(12, 60) = 720 / 60

GCD(12, 60) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 768

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

LCM(12, 768) = 768

GCD(12, 768) = ( 12 x 768 ) / 768

GCD(12, 768) = 9216 / 768

GCD(12, 768) = 12

GCD of 948, 852, 60, 768 is 12

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• GCD of 825, 423, 46, 591
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1. What is the GCD of 948, 852, 60, 768?

GCD of 948, 852, 60, 768 is 12

2. Where do I get the detailed procedure to find GCD of 948, 852, 60, 768?

You can find a detailed procedure to find GCD of 948, 852, 60, 768 on our page.

3. How to find GCD of 948, 852, 60, 768 on a calculator?

You can find the GCD of 948, 852, 60, 768 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.