GCD of 545, 664, 948, 408 Calculator

Given Input numbers are 545, 664, 948, 408

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Greatest Common Divisior

We found the divisors of 545, 664, 948, 408 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 664, 948, 408 is 1.

Therefore, GCD of numbers 545, 664, 948, 408 is 1

Given Input Data is 545, 664, 948, 408

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

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(545, 664) = 361880

GCD(545, 664) = ( 545 x 664 ) / 361880

GCD(545, 664) = 361880 / 361880

GCD(545, 664) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 408

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

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

GCD(1, 408) = 408 / 408

GCD(1, 408) = 1

GCD of 545, 664, 948, 408 is 1

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1. What is the GCD of 545, 664, 948, 408?

GCD of 545, 664, 948, 408 is 1

2. Where do I get the detailed procedure to find GCD of 545, 664, 948, 408?

You can find a detailed procedure to find GCD of 545, 664, 948, 408 on our page.

3. How to find GCD of 545, 664, 948, 408 on a calculator?

You can find the GCD of 545, 664, 948, 408 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.