GCD of 345, 987, 421, 553 Calculator

Given Input numbers are 345, 987, 421, 553

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 987

List of positive integer divisors of 987 that divides 987 without a remainder.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Greatest Common Divisior

We found the divisors of 345, 987, 421, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 987, 421, 553 is 1.

Therefore, GCD of numbers 345, 987, 421, 553 is 1

Given Input Data is 345, 987, 421, 553

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 987 is 3 x 7 x 47

Prime Factorization of 421 is 421

Prime Factorization of 553 is 7 x 79

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(345, 987) = 113505

GCD(345, 987) = ( 345 x 987 ) / 113505

GCD(345, 987) = 340515 / 113505

GCD(345, 987) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 421

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

LCM(3, 421) = 1263

GCD(3, 421) = ( 3 x 421 ) / 1263

GCD(3, 421) = 1263 / 1263

GCD(3, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 553

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

LCM(1, 553) = 553

GCD(1, 553) = ( 1 x 553 ) / 553

GCD(1, 553) = 553 / 553

GCD(1, 553) = 1

GCD of 345, 987, 421, 553 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 370, 691, 439
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• GCD of 266, 263, 138, 619

1. What is the GCD of 345, 987, 421, 553?

GCD of 345, 987, 421, 553 is 1

2. Where do I get the detailed procedure to find GCD of 345, 987, 421, 553?

You can find a detailed procedure to find GCD of 345, 987, 421, 553 on our page.

3. How to find GCD of 345, 987, 421, 553 on a calculator?

You can find the GCD of 345, 987, 421, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.