GCD of 743, 697, 60, 314 Calculator

Given Input numbers are 743, 697, 60, 314

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

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 743, 697, 60, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 697, 60, 314 is 1.

Therefore, GCD of numbers 743, 697, 60, 314 is 1

Given Input Data is 743, 697, 60, 314

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

Prime Factorization of 743 is 743

Prime Factorization of 697 is 17 x 41

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 314 is 2 x 157

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(743, 697) = 517871

GCD(743, 697) = ( 743 x 697 ) / 517871

GCD(743, 697) = 517871 / 517871

GCD(743, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 743, 697, 60, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 548, 32, 637
• GCD of 796, 932, 90, 738
• GCD of 388, 863, 27, 507
• GCD of 924, 856, 42, 674
• GCD of 678, 591, 18, 554

1. What is the GCD of 743, 697, 60, 314?

GCD of 743, 697, 60, 314 is 1

2. Where do I get the detailed procedure to find GCD of 743, 697, 60, 314?

You can find a detailed procedure to find GCD of 743, 697, 60, 314 on our page.

3. How to find GCD of 743, 697, 60, 314 on a calculator?

You can find the GCD of 743, 697, 60, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.