GCD of 946, 782, 692 Calculator

Given Input numbers are 946, 782, 692

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 946, 782, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 782, 692 is 2.

Therefore, GCD of numbers 946, 782, 692 is 2

Given Input Data is 946, 782, 692

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 692 is 2 x 2 x 173

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(946, 782) = 369886

GCD(946, 782) = ( 946 x 782 ) / 369886

GCD(946, 782) = 739772 / 369886

GCD(946, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 692

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

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

GCD(2, 692) = 1384 / 692

GCD(2, 692) = 2

GCD of 946, 782, 692 is 2

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1. What is the GCD of 946, 782, 692?

GCD of 946, 782, 692 is 2

2. Where do I get the detailed procedure to find GCD of 946, 782, 692?

You can find a detailed procedure to find GCD of 946, 782, 692 on our page.

3. How to find GCD of 946, 782, 692 on a calculator?

You can find the GCD of 946, 782, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.