GCD of 932, 874, 658, 346 Calculator

Given Input numbers are 932, 874, 658, 346

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

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 346

List of positive integer divisors of 346 that divides 346 without a remainder.

1, 2, 173, 346

Greatest Common Divisior

We found the divisors of 932, 874, 658, 346 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 932, 874, 658, 346 is 2.

Therefore, GCD of numbers 932, 874, 658, 346 is 2

Given Input Data is 932, 874, 658, 346

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

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 346 is 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(932, 874) = 407284

GCD(932, 874) = ( 932 x 874 ) / 407284

GCD(932, 874) = 814568 / 407284

GCD(932, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 658

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

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

GCD(2, 658) = 1316 / 658

GCD(2, 658) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 346

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

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

GCD(2, 346) = 692 / 346

GCD(2, 346) = 2

GCD of 932, 874, 658, 346 is 2

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1. What is the GCD of 932, 874, 658, 346?

GCD of 932, 874, 658, 346 is 2

2. Where do I get the detailed procedure to find GCD of 932, 874, 658, 346?

You can find a detailed procedure to find GCD of 932, 874, 658, 346 on our page.

3. How to find GCD of 932, 874, 658, 346 on a calculator?

You can find the GCD of 932, 874, 658, 346 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.