GCD of 535, 309, 720, 277 Calculator

Given Input numbers are 535, 309, 720, 277

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

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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 535, 309, 720, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 309, 720, 277 is 1.

Therefore, GCD of numbers 535, 309, 720, 277 is 1

Given Input Data is 535, 309, 720, 277

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

Prime Factorization of 535 is 5 x 107

Prime Factorization of 309 is 3 x 103

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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(535, 309) = 165315

GCD(535, 309) = ( 535 x 309 ) / 165315

GCD(535, 309) = 165315 / 165315

GCD(535, 309) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 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 535, 309, 720, 277 is 1

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1. What is the GCD of 535, 309, 720, 277?

GCD of 535, 309, 720, 277 is 1

2. Where do I get the detailed procedure to find GCD of 535, 309, 720, 277?

You can find a detailed procedure to find GCD of 535, 309, 720, 277 on our page.

3. How to find GCD of 535, 309, 720, 277 on a calculator?

You can find the GCD of 535, 309, 720, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.