GCD of 614, 834, 65, 762 Calculator

Given Input numbers are 614, 834, 65, 762

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 614, 834, 65, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 834, 65, 762 is 1.

Therefore, GCD of numbers 614, 834, 65, 762 is 1

Given Input Data is 614, 834, 65, 762

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 834 is 2 x 3 x 139

Prime Factorization of 65 is 5 x 13

Prime Factorization of 762 is 2 x 3 x 127

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(614, 834) = 256038

GCD(614, 834) = ( 614 x 834 ) / 256038

GCD(614, 834) = 512076 / 256038

GCD(614, 834) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 614, 834, 65, 762 is 1

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1. What is the GCD of 614, 834, 65, 762?

GCD of 614, 834, 65, 762 is 1

2. Where do I get the detailed procedure to find GCD of 614, 834, 65, 762?

You can find a detailed procedure to find GCD of 614, 834, 65, 762 on our page.

3. How to find GCD of 614, 834, 65, 762 on a calculator?

You can find the GCD of 614, 834, 65, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.