GCD of 361, 274, 893, 700 Calculator

Given Input numbers are 361, 274, 893, 700

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

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Greatest Common Divisior

We found the divisors of 361, 274, 893, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 274, 893, 700 is 1.

Therefore, GCD of numbers 361, 274, 893, 700 is 1

Given Input Data is 361, 274, 893, 700

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 274 is 2 x 137

Prime Factorization of 893 is 19 x 47

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

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(361, 274) = 98914

GCD(361, 274) = ( 361 x 274 ) / 98914

GCD(361, 274) = 98914 / 98914

GCD(361, 274) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

GCD of 361, 274, 893, 700 is 1

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• GCD of 335, 787, 792, 897
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1. What is the GCD of 361, 274, 893, 700?

GCD of 361, 274, 893, 700 is 1

2. Where do I get the detailed procedure to find GCD of 361, 274, 893, 700?

You can find a detailed procedure to find GCD of 361, 274, 893, 700 on our page.

3. How to find GCD of 361, 274, 893, 700 on a calculator?

You can find the GCD of 361, 274, 893, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.