GCD of 770, 732, 238 Calculator

Given Input numbers are 770, 732, 238

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 770, 732, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 732, 238 is 2.

Therefore, GCD of numbers 770, 732, 238 is 2

Given Input Data is 770, 732, 238

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 732 is 2 x 2 x 3 x 61

Prime Factorization of 238 is 2 x 7 x 17

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, 732) = 281820

GCD(770, 732) = ( 770 x 732 ) / 281820

GCD(770, 732) = 563640 / 281820

GCD(770, 732) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 238

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

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

GCD(2, 238) = 476 / 238

GCD(2, 238) = 2

GCD of 770, 732, 238 is 2

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1. What is the GCD of 770, 732, 238?

GCD of 770, 732, 238 is 2

2. Where do I get the detailed procedure to find GCD of 770, 732, 238?

You can find a detailed procedure to find GCD of 770, 732, 238 on our page.

3. How to find GCD of 770, 732, 238 on a calculator?

You can find the GCD of 770, 732, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.