GCD of 614, 694, 669, 748 Calculator

Given Input numbers are 614, 694, 669, 748

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 614, 694, 669, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 694, 669, 748 is 1.

Therefore, GCD of numbers 614, 694, 669, 748 is 1

Given Input Data is 614, 694, 669, 748

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 694 is 2 x 347

Prime Factorization of 669 is 3 x 223

Prime Factorization of 748 is 2 x 2 x 11 x 17

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, 694) = 213058

GCD(614, 694) = ( 614 x 694 ) / 213058

GCD(614, 694) = 426116 / 213058

GCD(614, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 669

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

LCM(2, 669) = 1338

GCD(2, 669) = ( 2 x 669 ) / 1338

GCD(2, 669) = 1338 / 1338

GCD(2, 669) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 614, 694, 669, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 782, 919, 100
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• GCD of 161, 769, 935, 942
• GCD of 956, 723, 573, 644

1. What is the GCD of 614, 694, 669, 748?

GCD of 614, 694, 669, 748 is 1

2. Where do I get the detailed procedure to find GCD of 614, 694, 669, 748?

You can find a detailed procedure to find GCD of 614, 694, 669, 748 on our page.

3. How to find GCD of 614, 694, 669, 748 on a calculator?

You can find the GCD of 614, 694, 669, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.