GCD of 900, 653, 75, 770 Calculator

Given Input numbers are 900, 653, 75, 770

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 900, 653, 75, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 653, 75, 770 is 1.

Therefore, GCD of numbers 900, 653, 75, 770 is 1

Given Input Data is 900, 653, 75, 770

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 653 is 653

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 770 is 2 x 5 x 7 x 11

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(900, 653) = 587700

GCD(900, 653) = ( 900 x 653 ) / 587700

GCD(900, 653) = 587700 / 587700

GCD(900, 653) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 900, 653, 75, 770 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 299, 18, 294
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• GCD of 239, 924, 33, 732
• GCD of 102, 201, 25, 962
• GCD of 817, 134, 97, 273

1. What is the GCD of 900, 653, 75, 770?

GCD of 900, 653, 75, 770 is 1

2. Where do I get the detailed procedure to find GCD of 900, 653, 75, 770?

You can find a detailed procedure to find GCD of 900, 653, 75, 770 on our page.

3. How to find GCD of 900, 653, 75, 770 on a calculator?

You can find the GCD of 900, 653, 75, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.