GCD of 657, 954, 66, 348 Calculator

Given Input numbers are 657, 954, 66, 348

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Greatest Common Divisior

We found the divisors of 657, 954, 66, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 954, 66, 348 is 3.

Therefore, GCD of numbers 657, 954, 66, 348 is 3

Given Input Data is 657, 954, 66, 348

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 348 is 2 x 2 x 3 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(657, 954) = 69642

GCD(657, 954) = ( 657 x 954 ) / 69642

GCD(657, 954) = 626778 / 69642

GCD(657, 954) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 66

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

LCM(9, 66) = 198

GCD(9, 66) = ( 9 x 66 ) / 198

GCD(9, 66) = 594 / 198

GCD(9, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 348

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

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

GCD(3, 348) = 1044 / 348

GCD(3, 348) = 3

GCD of 657, 954, 66, 348 is 3

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1. What is the GCD of 657, 954, 66, 348?

GCD of 657, 954, 66, 348 is 3

2. Where do I get the detailed procedure to find GCD of 657, 954, 66, 348?

You can find a detailed procedure to find GCD of 657, 954, 66, 348 on our page.

3. How to find GCD of 657, 954, 66, 348 on a calculator?

You can find the GCD of 657, 954, 66, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.