GCD of 614, 980, 25, 141 Calculator

Given Input numbers are 614, 980, 25, 141

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 614, 980, 25, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 980, 25, 141 is 1.

Therefore, GCD of numbers 614, 980, 25, 141 is 1

Given Input Data is 614, 980, 25, 141

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 25 is 5 x 5

Prime Factorization of 141 is 3 x 47

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(614, 980) = 300860

GCD(614, 980) = ( 614 x 980 ) / 300860

GCD(614, 980) = 601720 / 300860

GCD(614, 980) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 25

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

LCM(2, 25) = 50

GCD(2, 25) = ( 2 x 25 ) / 50

GCD(2, 25) = 50 / 50

GCD(2, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 614, 980, 25, 141 is 1

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1. What is the GCD of 614, 980, 25, 141?

GCD of 614, 980, 25, 141 is 1

2. Where do I get the detailed procedure to find GCD of 614, 980, 25, 141?

You can find a detailed procedure to find GCD of 614, 980, 25, 141 on our page.

3. How to find GCD of 614, 980, 25, 141 on a calculator?

You can find the GCD of 614, 980, 25, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.