GCD of 760, 899, 53, 400 Calculator

Given Input numbers are 760, 899, 53, 400

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

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

Greatest Common Divisior

We found the divisors of 760, 899, 53, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 899, 53, 400 is 1.

Therefore, GCD of numbers 760, 899, 53, 400 is 1

Given Input Data is 760, 899, 53, 400

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 899 is 29 x 31

Prime Factorization of 53 is 53

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

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(760, 899) = 683240

GCD(760, 899) = ( 760 x 899 ) / 683240

GCD(760, 899) = 683240 / 683240

GCD(760, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 760, 899, 53, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 484, 28, 366
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• GCD of 248, 179, 71, 786
• GCD of 128, 593, 77, 419
• GCD of 155, 363, 33, 831

1. What is the GCD of 760, 899, 53, 400?

GCD of 760, 899, 53, 400 is 1

2. Where do I get the detailed procedure to find GCD of 760, 899, 53, 400?

You can find a detailed procedure to find GCD of 760, 899, 53, 400 on our page.

3. How to find GCD of 760, 899, 53, 400 on a calculator?

You can find the GCD of 760, 899, 53, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.