GCD of 340, 752, 89 Calculator

Given Input numbers are 340, 752, 89

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Greatest Common Divisior

We found the divisors of 340, 752, 89 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 752, 89 is 1.

Therefore, GCD of numbers 340, 752, 89 is 1

Given Input Data is 340, 752, 89

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 89 is 89

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(340, 752) = 63920

GCD(340, 752) = ( 340 x 752 ) / 63920

GCD(340, 752) = 255680 / 63920

GCD(340, 752) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 89

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

LCM(4, 89) = 356

GCD(4, 89) = ( 4 x 89 ) / 356

GCD(4, 89) = 356 / 356

GCD(4, 89) = 1

GCD of 340, 752, 89 is 1

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• GCD of 984, 592, 37
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• GCD of 146, 288, 47
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1. What is the GCD of 340, 752, 89?

GCD of 340, 752, 89 is 1

2. Where do I get the detailed procedure to find GCD of 340, 752, 89?

You can find a detailed procedure to find GCD of 340, 752, 89 on our page.

3. How to find GCD of 340, 752, 89 on a calculator?

You can find the GCD of 340, 752, 89 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.