GCD of 274, 700, 291, 693 Calculator

Given Input numbers are 274, 700, 291, 693

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 274, 700, 291, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 700, 291, 693 is 1.

Therefore, GCD of numbers 274, 700, 291, 693 is 1

Given Input Data is 274, 700, 291, 693

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 291 is 3 x 97

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(274, 700) = 95900

GCD(274, 700) = ( 274 x 700 ) / 95900

GCD(274, 700) = 191800 / 95900

GCD(274, 700) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 291

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

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

GCD(2, 291) = 582 / 582

GCD(2, 291) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 693

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

LCM(1, 693) = 693

GCD(1, 693) = ( 1 x 693 ) / 693

GCD(1, 693) = 693 / 693

GCD(1, 693) = 1

GCD of 274, 700, 291, 693 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 451, 164, 943
• GCD of 515, 190, 680, 406
• GCD of 398, 776, 801, 144
• GCD of 656, 282, 297, 586
• GCD of 273, 289, 411, 140

1. What is the GCD of 274, 700, 291, 693?

GCD of 274, 700, 291, 693 is 1

2. Where do I get the detailed procedure to find GCD of 274, 700, 291, 693?

You can find a detailed procedure to find GCD of 274, 700, 291, 693 on our page.

3. How to find GCD of 274, 700, 291, 693 on a calculator?

You can find the GCD of 274, 700, 291, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.