GCD of 701, 200, 31, 781 Calculator

Given Input numbers are 701, 200, 31, 781

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

Divisors of 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 701, 200, 31, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 200, 31, 781 is 1.

Therefore, GCD of numbers 701, 200, 31, 781 is 1

Given Input Data is 701, 200, 31, 781

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

Prime Factorization of 701 is 701

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 31 is 31

Prime Factorization of 781 is 11 x 71

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(701, 200) = 140200

GCD(701, 200) = ( 701 x 200 ) / 140200

GCD(701, 200) = 140200 / 140200

GCD(701, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 781

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

LCM(1, 781) = 781

GCD(1, 781) = ( 1 x 781 ) / 781

GCD(1, 781) = 781 / 781

GCD(1, 781) = 1

GCD of 701, 200, 31, 781 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 130, 36, 527
• GCD of 840, 666, 30, 116
• GCD of 582, 326, 60, 242
• GCD of 438, 446, 97, 566
• GCD of 983, 126, 39, 162

1. What is the GCD of 701, 200, 31, 781?

GCD of 701, 200, 31, 781 is 1

2. Where do I get the detailed procedure to find GCD of 701, 200, 31, 781?

You can find a detailed procedure to find GCD of 701, 200, 31, 781 on our page.

3. How to find GCD of 701, 200, 31, 781 on a calculator?

You can find the GCD of 701, 200, 31, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.