GCD of 238, 770, 703, 548 Calculator

Given Input numbers are 238, 770, 703, 548

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

Divisors of 238

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

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

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 703

List of positive integer divisors of 703 that divides 703 without a remainder.

1, 19, 37, 703

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 238, 770, 703, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 238, 770, 703, 548 is 1.

Therefore, GCD of numbers 238, 770, 703, 548 is 1

Given Input Data is 238, 770, 703, 548

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

Prime Factorization of 238 is 2 x 7 x 17

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

Prime Factorization of 703 is 19 x 37

Prime Factorization of 548 is 2 x 2 x 137

The above numbers do not have any common prime factor. So GCD is 1

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(238, 770) = 13090

GCD(238, 770) = ( 238 x 770 ) / 13090

GCD(238, 770) = 183260 / 13090

GCD(238, 770) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 703

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

LCM(14, 703) = 9842

GCD(14, 703) = ( 14 x 703 ) / 9842

GCD(14, 703) = 9842 / 9842

GCD(14, 703) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 238, 770, 703, 548 is 1

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1. What is the GCD of 238, 770, 703, 548?

GCD of 238, 770, 703, 548 is 1

2. Where do I get the detailed procedure to find GCD of 238, 770, 703, 548?

You can find a detailed procedure to find GCD of 238, 770, 703, 548 on our page.

3. How to find GCD of 238, 770, 703, 548 on a calculator?

You can find the GCD of 238, 770, 703, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.