GCD of 770, 702, 52 Calculator

Given Input numbers are 770, 702, 52

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Greatest Common Divisior

We found the divisors of 770, 702, 52 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 702, 52 is 2.

Therefore, GCD of numbers 770, 702, 52 is 2

Given Input Data is 770, 702, 52

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 52 is 2 x 2 x 13

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(770, 702) = 270270

GCD(770, 702) = ( 770 x 702 ) / 270270

GCD(770, 702) = 540540 / 270270

GCD(770, 702) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

GCD of 770, 702, 52 is 2

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1. What is the GCD of 770, 702, 52?

GCD of 770, 702, 52 is 2

2. Where do I get the detailed procedure to find GCD of 770, 702, 52?

You can find a detailed procedure to find GCD of 770, 702, 52 on our page.

3. How to find GCD of 770, 702, 52 on a calculator?

You can find the GCD of 770, 702, 52 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.