GCD of 771, 702, 53, 314 Calculator

Given Input numbers are 771, 702, 53, 314

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

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

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 771, 702, 53, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 771, 702, 53, 314 is 1.

Therefore, GCD of numbers 771, 702, 53, 314 is 1

Given Input Data is 771, 702, 53, 314

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

Prime Factorization of 771 is 3 x 257

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 53 is 53

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(771, 702) = 180414

GCD(771, 702) = ( 771 x 702 ) / 180414

GCD(771, 702) = 541242 / 180414

GCD(771, 702) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 53

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

LCM(3, 53) = 159

GCD(3, 53) = ( 3 x 53 ) / 159

GCD(3, 53) = 159 / 159

GCD(3, 53) = 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 771, 702, 53, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 461, 55, 166
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• GCD of 235, 797, 75, 634

1. What is the GCD of 771, 702, 53, 314?

GCD of 771, 702, 53, 314 is 1

2. Where do I get the detailed procedure to find GCD of 771, 702, 53, 314?

You can find a detailed procedure to find GCD of 771, 702, 53, 314 on our page.

3. How to find GCD of 771, 702, 53, 314 on a calculator?

You can find the GCD of 771, 702, 53, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.