GCD of 413, 546, 945, 147 Calculator

Given Input numbers are 413, 546, 945, 147

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Greatest Common Divisior

We found the divisors of 413, 546, 945, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 413, 546, 945, 147 is 7.

Therefore, GCD of numbers 413, 546, 945, 147 is 7

Given Input Data is 413, 546, 945, 147

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 546 is 2 x 3 x 7 x 13

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 147 is 3 x 7 x 7

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(413, 546) = 32214

GCD(413, 546) = ( 413 x 546 ) / 32214

GCD(413, 546) = 225498 / 32214

GCD(413, 546) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 945

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

LCM(7, 945) = 945

GCD(7, 945) = ( 7 x 945 ) / 945

GCD(7, 945) = 6615 / 945

GCD(7, 945) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 147

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

LCM(7, 147) = 147

GCD(7, 147) = ( 7 x 147 ) / 147

GCD(7, 147) = 1029 / 147

GCD(7, 147) = 7

GCD of 413, 546, 945, 147 is 7

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1. What is the GCD of 413, 546, 945, 147?

GCD of 413, 546, 945, 147 is 7

2. Where do I get the detailed procedure to find GCD of 413, 546, 945, 147?

You can find a detailed procedure to find GCD of 413, 546, 945, 147 on our page.

3. How to find GCD of 413, 546, 945, 147 on a calculator?

You can find the GCD of 413, 546, 945, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.