GCD of 749, 343, 861 Calculator

Given Input numbers are 749, 343, 861

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 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Greatest Common Divisior

We found the divisors of 749, 343, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 343, 861 is 7.

Therefore, GCD of numbers 749, 343, 861 is 7

Given Input Data is 749, 343, 861

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

Prime Factorization of 749 is 7 x 107

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 861 is 3 x 7 x 41

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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, 343) = 36701

GCD(749, 343) = ( 749 x 343 ) / 36701

GCD(749, 343) = 256907 / 36701

GCD(749, 343) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 861

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

LCM(7, 861) = 861

GCD(7, 861) = ( 7 x 861 ) / 861

GCD(7, 861) = 6027 / 861

GCD(7, 861) = 7

GCD of 749, 343, 861 is 7

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1. What is the GCD of 749, 343, 861?

GCD of 749, 343, 861 is 7

2. Where do I get the detailed procedure to find GCD of 749, 343, 861?

You can find a detailed procedure to find GCD of 749, 343, 861 on our page.

3. How to find GCD of 749, 343, 861 on a calculator?

You can find the GCD of 749, 343, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.