GCD of 154, 514, 705, 425 Calculator

Given Input numbers are 154, 514, 705, 425

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 425

List of positive integer divisors of 425 that divides 425 without a remainder.

1, 5, 17, 25, 85, 425

Greatest Common Divisior

We found the divisors of 154, 514, 705, 425 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 514, 705, 425 is 1.

Therefore, GCD of numbers 154, 514, 705, 425 is 1

Given Input Data is 154, 514, 705, 425

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 514 is 2 x 257

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 425 is 5 x 5 x 17

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(154, 514) = 39578

GCD(154, 514) = ( 154 x 514 ) / 39578

GCD(154, 514) = 79156 / 39578

GCD(154, 514) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 705

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

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

GCD(2, 705) = 1410 / 1410

GCD(2, 705) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 425

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

LCM(1, 425) = 425

GCD(1, 425) = ( 1 x 425 ) / 425

GCD(1, 425) = 425 / 425

GCD(1, 425) = 1

GCD of 154, 514, 705, 425 is 1

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• GCD of 618, 481, 256, 477
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1. What is the GCD of 154, 514, 705, 425?

GCD of 154, 514, 705, 425 is 1

2. Where do I get the detailed procedure to find GCD of 154, 514, 705, 425?

You can find a detailed procedure to find GCD of 154, 514, 705, 425 on our page.

3. How to find GCD of 154, 514, 705, 425 on a calculator?

You can find the GCD of 154, 514, 705, 425 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.