GCD of 814, 975, 732, 639 Calculator

Given Input numbers are 814, 975, 732, 639

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

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 639

List of positive integer divisors of 639 that divides 639 without a remainder.

1, 3, 9, 71, 213, 639

Greatest Common Divisior

We found the divisors of 814, 975, 732, 639 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 975, 732, 639 is 1.

Therefore, GCD of numbers 814, 975, 732, 639 is 1

Given Input Data is 814, 975, 732, 639

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

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 639 is 3 x 3 x 71

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(814, 975) = 793650

GCD(814, 975) = ( 814 x 975 ) / 793650

GCD(814, 975) = 793650 / 793650

GCD(814, 975) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 639

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

LCM(1, 639) = 639

GCD(1, 639) = ( 1 x 639 ) / 639

GCD(1, 639) = 639 / 639

GCD(1, 639) = 1

GCD of 814, 975, 732, 639 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 706, 624, 659
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• GCD of 714, 456, 178, 511

1. What is the GCD of 814, 975, 732, 639?

GCD of 814, 975, 732, 639 is 1

2. Where do I get the detailed procedure to find GCD of 814, 975, 732, 639?

You can find a detailed procedure to find GCD of 814, 975, 732, 639 on our page.

3. How to find GCD of 814, 975, 732, 639 on a calculator?

You can find the GCD of 814, 975, 732, 639 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.