GCD of 923, 420, 65, 277 Calculator

Given Input numbers are 923, 420, 65, 277

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

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 923, 420, 65, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 923, 420, 65, 277 is 1.

Therefore, GCD of numbers 923, 420, 65, 277 is 1

Given Input Data is 923, 420, 65, 277

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

Prime Factorization of 923 is 13 x 71

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 65 is 5 x 13

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(923, 420) = 387660

GCD(923, 420) = ( 923 x 420 ) / 387660

GCD(923, 420) = 387660 / 387660

GCD(923, 420) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 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 923, 420, 65, 277 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 909, 63, 993
• GCD of 189, 425, 46, 417
• GCD of 694, 126, 65, 934
• GCD of 494, 833, 77, 615
• GCD of 501, 894, 85, 564

1. What is the GCD of 923, 420, 65, 277?

GCD of 923, 420, 65, 277 is 1

2. Where do I get the detailed procedure to find GCD of 923, 420, 65, 277?

You can find a detailed procedure to find GCD of 923, 420, 65, 277 on our page.

3. How to find GCD of 923, 420, 65, 277 on a calculator?

You can find the GCD of 923, 420, 65, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.