GCD of 694, 760, 746, 251 Calculator

Given Input numbers are 694, 760, 746, 251

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

Divisors of 694

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

1, 2, 347, 694

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Greatest Common Divisior

We found the divisors of 694, 760, 746, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 694, 760, 746, 251 is 1.

Therefore, GCD of numbers 694, 760, 746, 251 is 1

Given Input Data is 694, 760, 746, 251

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 746 is 2 x 373

Prime Factorization of 251 is 251

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(694, 760) = 263720

GCD(694, 760) = ( 694 x 760 ) / 263720

GCD(694, 760) = 527440 / 263720

GCD(694, 760) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 746

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

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

GCD(2, 746) = 1492 / 746

GCD(2, 746) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 251

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

LCM(2, 251) = 502

GCD(2, 251) = ( 2 x 251 ) / 502

GCD(2, 251) = 502 / 502

GCD(2, 251) = 1

GCD of 694, 760, 746, 251 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 293, 339, 812
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• GCD of 255, 621, 388, 482
• GCD of 599, 317, 814, 627

1. What is the GCD of 694, 760, 746, 251?

GCD of 694, 760, 746, 251 is 1

2. Where do I get the detailed procedure to find GCD of 694, 760, 746, 251?

You can find a detailed procedure to find GCD of 694, 760, 746, 251 on our page.

3. How to find GCD of 694, 760, 746, 251 on a calculator?

You can find the GCD of 694, 760, 746, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.