GCD of 749, 850, 465 Calculator

Given Input numbers are 749, 850, 465

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 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Greatest Common Divisior

We found the divisors of 749, 850, 465 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 850, 465 is 1.

Therefore, GCD of numbers 749, 850, 465 is 1

Given Input Data is 749, 850, 465

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 465 is 3 x 5 x 31

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, 850) = 636650

GCD(749, 850) = ( 749 x 850 ) / 636650

GCD(749, 850) = 636650 / 636650

GCD(749, 850) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 465

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

LCM(1, 465) = 465

GCD(1, 465) = ( 1 x 465 ) / 465

GCD(1, 465) = 465 / 465

GCD(1, 465) = 1

GCD of 749, 850, 465 is 1

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1. What is the GCD of 749, 850, 465?

GCD of 749, 850, 465 is 1

2. Where do I get the detailed procedure to find GCD of 749, 850, 465?

You can find a detailed procedure to find GCD of 749, 850, 465 on our page.

3. How to find GCD of 749, 850, 465 on a calculator?

You can find the GCD of 749, 850, 465 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.