GCD of 354, 957, 66, 505 Calculator

Given Input numbers are 354, 957, 66, 505

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

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 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 354, 957, 66, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 957, 66, 505 is 1.

Therefore, GCD of numbers 354, 957, 66, 505 is 1

Given Input Data is 354, 957, 66, 505

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 505 is 5 x 101

The above numbers do not have any common prime factor. So GCD is 1

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(354, 957) = 112926

GCD(354, 957) = ( 354 x 957 ) / 112926

GCD(354, 957) = 338778 / 112926

GCD(354, 957) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 505

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

LCM(3, 505) = 1515

GCD(3, 505) = ( 3 x 505 ) / 1515

GCD(3, 505) = 1515 / 1515

GCD(3, 505) = 1

GCD of 354, 957, 66, 505 is 1

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• GCD of 283, 584, 10, 265
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1. What is the GCD of 354, 957, 66, 505?

GCD of 354, 957, 66, 505 is 1

2. Where do I get the detailed procedure to find GCD of 354, 957, 66, 505?

You can find a detailed procedure to find GCD of 354, 957, 66, 505 on our page.

3. How to find GCD of 354, 957, 66, 505 on a calculator?

You can find the GCD of 354, 957, 66, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.