GCD of 762, 816, 688, 144 Calculator

Given Input numbers are 762, 816, 688, 144

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 762, 816, 688, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 816, 688, 144 is 2.

Therefore, GCD of numbers 762, 816, 688, 144 is 2

Given Input Data is 762, 816, 688, 144

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(762, 816) = 103632

GCD(762, 816) = ( 762 x 816 ) / 103632

GCD(762, 816) = 621792 / 103632

GCD(762, 816) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 688

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

LCM(6, 688) = 2064

GCD(6, 688) = ( 6 x 688 ) / 2064

GCD(6, 688) = 4128 / 2064

GCD(6, 688) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 144

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

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

GCD(2, 144) = 288 / 144

GCD(2, 144) = 2

GCD of 762, 816, 688, 144 is 2

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1. What is the GCD of 762, 816, 688, 144?

GCD of 762, 816, 688, 144 is 2

2. Where do I get the detailed procedure to find GCD of 762, 816, 688, 144?

You can find a detailed procedure to find GCD of 762, 816, 688, 144 on our page.

3. How to find GCD of 762, 816, 688, 144 on a calculator?

You can find the GCD of 762, 816, 688, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.