GCD of 705, 307, 371, 154 Calculator

Given Input numbers are 705, 307, 371, 154

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

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 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 154

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

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

Greatest Common Divisior

We found the divisors of 705, 307, 371, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 307, 371, 154 is 1.

Therefore, GCD of numbers 705, 307, 371, 154 is 1

Given Input Data is 705, 307, 371, 154

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 307 is 307

Prime Factorization of 371 is 7 x 53

Prime Factorization of 154 is 2 x 7 x 11

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(705, 307) = 216435

GCD(705, 307) = ( 705 x 307 ) / 216435

GCD(705, 307) = 216435 / 216435

GCD(705, 307) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

GCD of 705, 307, 371, 154 is 1

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1. What is the GCD of 705, 307, 371, 154?

GCD of 705, 307, 371, 154 is 1

2. Where do I get the detailed procedure to find GCD of 705, 307, 371, 154?

You can find a detailed procedure to find GCD of 705, 307, 371, 154 on our page.

3. How to find GCD of 705, 307, 371, 154 on a calculator?

You can find the GCD of 705, 307, 371, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.