GCD of 77, 465, 238, 734 Calculator

Given Input numbers are 77, 465, 238, 734

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

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 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 77, 465, 238, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 465, 238, 734 is 1.

Therefore, GCD of numbers 77, 465, 238, 734 is 1

Given Input Data is 77, 465, 238, 734

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 734 is 2 x 367

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(77, 465) = 35805

GCD(77, 465) = ( 77 x 465 ) / 35805

GCD(77, 465) = 35805 / 35805

GCD(77, 465) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 734

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

LCM(1, 734) = 734

GCD(1, 734) = ( 1 x 734 ) / 734

GCD(1, 734) = 734 / 734

GCD(1, 734) = 1

GCD of 77, 465, 238, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 499, 724, 491
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• GCD of 60, 794, 914, 689

1. What is the GCD of 77, 465, 238, 734?

GCD of 77, 465, 238, 734 is 1

2. Where do I get the detailed procedure to find GCD of 77, 465, 238, 734?

You can find a detailed procedure to find GCD of 77, 465, 238, 734 on our page.

3. How to find GCD of 77, 465, 238, 734 on a calculator?

You can find the GCD of 77, 465, 238, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.