GCD of 962, 340, 962, 342 Calculator

Given Input numbers are 962, 340, 962, 342

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

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

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 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 962, 340, 962, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 962, 340, 962, 342 is 2.

Therefore, GCD of numbers 962, 340, 962, 342 is 2

Given Input Data is 962, 340, 962, 342

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

Prime Factorization of 962 is 2 x 13 x 37

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

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(962, 340) = 163540

GCD(962, 340) = ( 962 x 340 ) / 163540

GCD(962, 340) = 327080 / 163540

GCD(962, 340) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 962

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

LCM(2, 962) = 962

GCD(2, 962) = ( 2 x 962 ) / 962

GCD(2, 962) = 1924 / 962

GCD(2, 962) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 342

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

LCM(2, 342) = 342

GCD(2, 342) = ( 2 x 342 ) / 342

GCD(2, 342) = 684 / 342

GCD(2, 342) = 2

GCD of 962, 340, 962, 342 is 2

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1. What is the GCD of 962, 340, 962, 342?

GCD of 962, 340, 962, 342 is 2

2. Where do I get the detailed procedure to find GCD of 962, 340, 962, 342?

You can find a detailed procedure to find GCD of 962, 340, 962, 342 on our page.

3. How to find GCD of 962, 340, 962, 342 on a calculator?

You can find the GCD of 962, 340, 962, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.