GCD of 675, 721, 456, 277 Calculator

Given Input numbers are 675, 721, 456, 277

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 675, 721, 456, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 721, 456, 277 is 1.

Therefore, GCD of numbers 675, 721, 456, 277 is 1

Given Input Data is 675, 721, 456, 277

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 721 is 7 x 103

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

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(675, 721) = 486675

GCD(675, 721) = ( 675 x 721 ) / 486675

GCD(675, 721) = 486675 / 486675

GCD(675, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 456

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

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

GCD(1, 456) = 456 / 456

GCD(1, 456) = 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 675, 721, 456, 277 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 959, 667, 484
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• GCD of 278, 308, 579, 750
• GCD of 336, 266, 592, 237

1. What is the GCD of 675, 721, 456, 277?

GCD of 675, 721, 456, 277 is 1

2. Where do I get the detailed procedure to find GCD of 675, 721, 456, 277?

You can find a detailed procedure to find GCD of 675, 721, 456, 277 on our page.

3. How to find GCD of 675, 721, 456, 277 on a calculator?

You can find the GCD of 675, 721, 456, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.