GCD of 714, 928, 61, 767 Calculator

Given Input numbers are 714, 928, 61, 767

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

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 714, 928, 61, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 714, 928, 61, 767 is 1.

Therefore, GCD of numbers 714, 928, 61, 767 is 1

Given Input Data is 714, 928, 61, 767

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

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

Prime Factorization of 61 is 61

Prime Factorization of 767 is 13 x 59

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(714, 928) = 331296

GCD(714, 928) = ( 714 x 928 ) / 331296

GCD(714, 928) = 662592 / 331296

GCD(714, 928) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 714, 928, 61, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 157, 598, 66, 929
• GCD of 617, 359, 62, 746
• GCD of 294, 511, 36, 701
• GCD of 708, 418, 46, 700
• GCD of 838, 615, 39, 696

1. What is the GCD of 714, 928, 61, 767?

GCD of 714, 928, 61, 767 is 1

2. Where do I get the detailed procedure to find GCD of 714, 928, 61, 767?

You can find a detailed procedure to find GCD of 714, 928, 61, 767 on our page.

3. How to find GCD of 714, 928, 61, 767 on a calculator?

You can find the GCD of 714, 928, 61, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.