GCD of 762, 800, 10, 725 Calculator

Given Input numbers are 762, 800, 10, 725

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Greatest Common Divisior

We found the divisors of 762, 800, 10, 725 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 800, 10, 725 is 1.

Therefore, GCD of numbers 762, 800, 10, 725 is 1

Given Input Data is 762, 800, 10, 725

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 10 is 2 x 5

Prime Factorization of 725 is 5 x 5 x 29

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(762, 800) = 304800

GCD(762, 800) = ( 762 x 800 ) / 304800

GCD(762, 800) = 609600 / 304800

GCD(762, 800) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 10

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

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

GCD(2, 10) = 20 / 10

GCD(2, 10) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 725

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

LCM(2, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

GCD(2, 725) = 1450 / 1450

GCD(2, 725) = 1

GCD of 762, 800, 10, 725 is 1

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• GCD of 543, 482, 57, 624
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1. What is the GCD of 762, 800, 10, 725?

GCD of 762, 800, 10, 725 is 1

2. Where do I get the detailed procedure to find GCD of 762, 800, 10, 725?

You can find a detailed procedure to find GCD of 762, 800, 10, 725 on our page.

3. How to find GCD of 762, 800, 10, 725 on a calculator?

You can find the GCD of 762, 800, 10, 725 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.