GCD of 371, 273, 653, 770 Calculator

Given Input numbers are 371, 273, 653, 770

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 371, 273, 653, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 273, 653, 770 is 1.

Therefore, GCD of numbers 371, 273, 653, 770 is 1

Given Input Data is 371, 273, 653, 770

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 653 is 653

Prime Factorization of 770 is 2 x 5 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(371, 273) = 14469

GCD(371, 273) = ( 371 x 273 ) / 14469

GCD(371, 273) = 101283 / 14469

GCD(371, 273) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 653

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

LCM(7, 653) = 4571

GCD(7, 653) = ( 7 x 653 ) / 4571

GCD(7, 653) = 4571 / 4571

GCD(7, 653) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 371, 273, 653, 770 is 1

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1. What is the GCD of 371, 273, 653, 770?

GCD of 371, 273, 653, 770 is 1

2. Where do I get the detailed procedure to find GCD of 371, 273, 653, 770?

You can find a detailed procedure to find GCD of 371, 273, 653, 770 on our page.

3. How to find GCD of 371, 273, 653, 770 on a calculator?

You can find the GCD of 371, 273, 653, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.