GCD of 40, 959, 749, 277 Calculator

Given Input numbers are 40, 959, 749, 277

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

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 40, 959, 749, 277 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 959, 749, 277 is 1.

Therefore, GCD of numbers 40, 959, 749, 277 is 1

Given Input Data is 40, 959, 749, 277

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 959 is 7 x 137

Prime Factorization of 749 is 7 x 107

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(40, 959) = 38360

GCD(40, 959) = ( 40 x 959 ) / 38360

GCD(40, 959) = 38360 / 38360

GCD(40, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 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 40, 959, 749, 277 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 641, 891, 721
• GCD of 51, 557, 422, 665
• GCD of 70, 937, 664, 962
• GCD of 52, 556, 456, 644
• GCD of 79, 843, 209, 662

1. What is the GCD of 40, 959, 749, 277?

GCD of 40, 959, 749, 277 is 1

2. Where do I get the detailed procedure to find GCD of 40, 959, 749, 277?

You can find a detailed procedure to find GCD of 40, 959, 749, 277 on our page.

3. How to find GCD of 40, 959, 749, 277 on a calculator?

You can find the GCD of 40, 959, 749, 277 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.