GCD of 760, 966, 340 Calculator

Given Input numbers are 760, 966, 340

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 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

Greatest Common Divisior

We found the divisors of 760, 966, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 966, 340 is 2.

Therefore, GCD of numbers 760, 966, 340 is 2

Given Input Data is 760, 966, 340

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 966 is 2 x 3 x 7 x 23

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 966) = 367080

GCD(760, 966) = ( 760 x 966 ) / 367080

GCD(760, 966) = 734160 / 367080

GCD(760, 966) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 340

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

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

GCD(2, 340) = 680 / 340

GCD(2, 340) = 2

GCD of 760, 966, 340 is 2

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1. What is the GCD of 760, 966, 340?

GCD of 760, 966, 340 is 2

2. Where do I get the detailed procedure to find GCD of 760, 966, 340?

You can find a detailed procedure to find GCD of 760, 966, 340 on our page.

3. How to find GCD of 760, 966, 340 on a calculator?

You can find the GCD of 760, 966, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.