GCD of 142, 954, 25, 691 Calculator

Given Input numbers are 142, 954, 25, 691

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 25

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

1, 5, 25

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Greatest Common Divisior

We found the divisors of 142, 954, 25, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 954, 25, 691 is 1.

Therefore, GCD of numbers 142, 954, 25, 691 is 1

Given Input Data is 142, 954, 25, 691

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 25 is 5 x 5

Prime Factorization of 691 is 691

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(142, 954) = 67734

GCD(142, 954) = ( 142 x 954 ) / 67734

GCD(142, 954) = 135468 / 67734

GCD(142, 954) = 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 691

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

LCM(1, 691) = 691

GCD(1, 691) = ( 1 x 691 ) / 691

GCD(1, 691) = 691 / 691

GCD(1, 691) = 1

GCD of 142, 954, 25, 691 is 1

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1. What is the GCD of 142, 954, 25, 691?

GCD of 142, 954, 25, 691 is 1

2. Where do I get the detailed procedure to find GCD of 142, 954, 25, 691?

You can find a detailed procedure to find GCD of 142, 954, 25, 691 on our page.

3. How to find GCD of 142, 954, 25, 691 on a calculator?

You can find the GCD of 142, 954, 25, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.