GCD of 101, 281, 77, 370 Calculator

Given Input numbers are 101, 281, 77, 370

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

Divisors of 101

List of positive integer divisors of 101 that divides 101 without a remainder.

1, 101

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 101, 281, 77, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 281, 77, 370 is 1.

Therefore, GCD of numbers 101, 281, 77, 370 is 1

Given Input Data is 101, 281, 77, 370

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

Prime Factorization of 101 is 101

Prime Factorization of 281 is 281

Prime Factorization of 77 is 7 x 11

Prime Factorization of 370 is 2 x 5 x 37

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(101, 281) = 28381

GCD(101, 281) = ( 101 x 281 ) / 28381

GCD(101, 281) = 28381 / 28381

GCD(101, 281) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 101, 281, 77, 370 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 181, 630, 96, 851
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• GCD of 928, 968, 24, 297

1. What is the GCD of 101, 281, 77, 370?

GCD of 101, 281, 77, 370 is 1

2. Where do I get the detailed procedure to find GCD of 101, 281, 77, 370?

You can find a detailed procedure to find GCD of 101, 281, 77, 370 on our page.

3. How to find GCD of 101, 281, 77, 370 on a calculator?

You can find the GCD of 101, 281, 77, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.