GCD of 61, 414, 139, 954 Calculator

Given Input numbers are 61, 414, 139, 954

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

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 139

List of positive integer divisors of 139 that divides 139 without a remainder.

1, 139

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

Greatest Common Divisior

We found the divisors of 61, 414, 139, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 61, 414, 139, 954 is 1.

Therefore, GCD of numbers 61, 414, 139, 954 is 1

Given Input Data is 61, 414, 139, 954

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

Prime Factorization of 61 is 61

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 139 is 139

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

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(61, 414) = 25254

GCD(61, 414) = ( 61 x 414 ) / 25254

GCD(61, 414) = 25254 / 25254

GCD(61, 414) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 139

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

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

GCD(1, 139) = 139 / 139

GCD(1, 139) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 61, 414, 139, 954 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 742, 518, 453
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• GCD of 93, 929, 404, 285
• GCD of 25, 550, 240, 429
• GCD of 22, 597, 744, 554

1. What is the GCD of 61, 414, 139, 954?

GCD of 61, 414, 139, 954 is 1

2. Where do I get the detailed procedure to find GCD of 61, 414, 139, 954?

You can find a detailed procedure to find GCD of 61, 414, 139, 954 on our page.

3. How to find GCD of 61, 414, 139, 954 on a calculator?

You can find the GCD of 61, 414, 139, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.