GCD of 749, 899, 651, 800 Calculator

Given Input numbers are 749, 899, 651, 800

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

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 899

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

1, 29, 31, 899

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

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

Greatest Common Divisior

We found the divisors of 749, 899, 651, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 899, 651, 800 is 1.

Therefore, GCD of numbers 749, 899, 651, 800 is 1

Given Input Data is 749, 899, 651, 800

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 899 is 29 x 31

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 800 is 2 x 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(749, 899) = 673351

GCD(749, 899) = ( 749 x 899 ) / 673351

GCD(749, 899) = 673351 / 673351

GCD(749, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 1

Step3:

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

GCD of 749, 899, 651, 800 is 1

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1. What is the GCD of 749, 899, 651, 800?

GCD of 749, 899, 651, 800 is 1

2. Where do I get the detailed procedure to find GCD of 749, 899, 651, 800?

You can find a detailed procedure to find GCD of 749, 899, 651, 800 on our page.

3. How to find GCD of 749, 899, 651, 800 on a calculator?

You can find the GCD of 749, 899, 651, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.