GCD of 312, 763, 55, 507 Calculator

Given Input numbers are 312, 763, 55, 507

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

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 312, 763, 55, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 312, 763, 55, 507 is 1.

Therefore, GCD of numbers 312, 763, 55, 507 is 1

Given Input Data is 312, 763, 55, 507

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 763 is 7 x 109

Prime Factorization of 55 is 5 x 11

Prime Factorization of 507 is 3 x 13 x 13

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(312, 763) = 238056

GCD(312, 763) = ( 312 x 763 ) / 238056

GCD(312, 763) = 238056 / 238056

GCD(312, 763) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 312, 763, 55, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 690, 44, 425
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• GCD of 801, 290, 45, 903
• GCD of 752, 968, 67, 852
• GCD of 438, 592, 58, 791

1. What is the GCD of 312, 763, 55, 507?

GCD of 312, 763, 55, 507 is 1

2. Where do I get the detailed procedure to find GCD of 312, 763, 55, 507?

You can find a detailed procedure to find GCD of 312, 763, 55, 507 on our page.

3. How to find GCD of 312, 763, 55, 507 on a calculator?

You can find the GCD of 312, 763, 55, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.