GCD of 614, 175, 71, 147 Calculator

Given Input numbers are 614, 175, 71, 147

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 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 614, 175, 71, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 175, 71, 147 is 1.

Therefore, GCD of numbers 614, 175, 71, 147 is 1

Given Input Data is 614, 175, 71, 147

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 71 is 71

Prime Factorization of 147 is 3 x 7 x 7

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, 175) = 107450

GCD(614, 175) = ( 614 x 175 ) / 107450

GCD(614, 175) = 107450 / 107450

GCD(614, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 147

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

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

GCD(1, 147) = 147 / 147

GCD(1, 147) = 1

GCD of 614, 175, 71, 147 is 1

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• GCD of 514, 861, 28, 574
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1. What is the GCD of 614, 175, 71, 147?

GCD of 614, 175, 71, 147 is 1

2. Where do I get the detailed procedure to find GCD of 614, 175, 71, 147?

You can find a detailed procedure to find GCD of 614, 175, 71, 147 on our page.

3. How to find GCD of 614, 175, 71, 147 on a calculator?

You can find the GCD of 614, 175, 71, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.