GCD of 370, 242, 929, 277 Calculator

Given Input numbers are 370, 242, 929, 277

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

Divisors of 370

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

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

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 277

List of positive integer divisors of 277 that divides 277 without a remainder.

1, 277

Greatest Common Divisior

We found the divisors of 370, 242, 929, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 242, 929, 277 is 1.

Therefore, GCD of numbers 370, 242, 929, 277 is 1

Given Input Data is 370, 242, 929, 277

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

Prime Factorization of 370 is 2 x 5 x 37

Prime Factorization of 242 is 2 x 11 x 11

Prime Factorization of 929 is 929

Prime Factorization of 277 is 277

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(370, 242) = 44770

GCD(370, 242) = ( 370 x 242 ) / 44770

GCD(370, 242) = 89540 / 44770

GCD(370, 242) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 929

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

LCM(2, 929) = 1858

GCD(2, 929) = ( 2 x 929 ) / 1858

GCD(2, 929) = 1858 / 1858

GCD(2, 929) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 277

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

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

GCD(1, 277) = 277 / 277

GCD(1, 277) = 1

GCD of 370, 242, 929, 277 is 1

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1. What is the GCD of 370, 242, 929, 277?

GCD of 370, 242, 929, 277 is 1

2. Where do I get the detailed procedure to find GCD of 370, 242, 929, 277?

You can find a detailed procedure to find GCD of 370, 242, 929, 277 on our page.

3. How to find GCD of 370, 242, 929, 277 on a calculator?

You can find the GCD of 370, 242, 929, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.