GCD of 253, 545, 800, 762 Calculator

Given Input numbers are 253, 545, 800, 762

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

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 762

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

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

Greatest Common Divisior

We found the divisors of 253, 545, 800, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 545, 800, 762 is 1.

Therefore, GCD of numbers 253, 545, 800, 762 is 1

Given Input Data is 253, 545, 800, 762

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 545 is 5 x 109

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

Prime Factorization of 762 is 2 x 3 x 127

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(253, 545) = 137885

GCD(253, 545) = ( 253 x 545 ) / 137885

GCD(253, 545) = 137885 / 137885

GCD(253, 545) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 253, 545, 800, 762 is 1

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1. What is the GCD of 253, 545, 800, 762?

GCD of 253, 545, 800, 762 is 1

2. Where do I get the detailed procedure to find GCD of 253, 545, 800, 762?

You can find a detailed procedure to find GCD of 253, 545, 800, 762 on our page.

3. How to find GCD of 253, 545, 800, 762 on a calculator?

You can find the GCD of 253, 545, 800, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.