GCD of 752, 860, 784 Calculator

Given Input numbers are 752, 860, 784

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

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 784

List of positive integer divisors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Greatest Common Divisior

We found the divisors of 752, 860, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 860, 784 is 4.

Therefore, GCD of numbers 752, 860, 784 is 4

Given Input Data is 752, 860, 784

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

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(752, 860) = 161680

GCD(752, 860) = ( 752 x 860 ) / 161680

GCD(752, 860) = 646720 / 161680

GCD(752, 860) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 784

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

LCM(4, 784) = 784

GCD(4, 784) = ( 4 x 784 ) / 784

GCD(4, 784) = 3136 / 784

GCD(4, 784) = 4

GCD of 752, 860, 784 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 548, 279
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• GCD of 733, 461, 284
• GCD of 145, 560, 534

1. What is the GCD of 752, 860, 784?

GCD of 752, 860, 784 is 4

2. Where do I get the detailed procedure to find GCD of 752, 860, 784?

You can find a detailed procedure to find GCD of 752, 860, 784 on our page.

3. How to find GCD of 752, 860, 784 on a calculator?

You can find the GCD of 752, 860, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.