GCD of 705, 387, 92, 949 Calculator

Given Input numbers are 705, 387, 92, 949

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 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 705, 387, 92, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 387, 92, 949 is 1.

Therefore, GCD of numbers 705, 387, 92, 949 is 1

Given Input Data is 705, 387, 92, 949

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 387 is 3 x 3 x 43

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 949 is 13 x 73

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, 387) = 90945

GCD(705, 387) = ( 705 x 387 ) / 90945

GCD(705, 387) = 272835 / 90945

GCD(705, 387) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 92

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

LCM(3, 92) = 276

GCD(3, 92) = ( 3 x 92 ) / 276

GCD(3, 92) = 276 / 276

GCD(3, 92) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 705, 387, 92, 949 is 1

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• GCD of 663, 491, 98, 321
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1. What is the GCD of 705, 387, 92, 949?

GCD of 705, 387, 92, 949 is 1

2. Where do I get the detailed procedure to find GCD of 705, 387, 92, 949?

You can find a detailed procedure to find GCD of 705, 387, 92, 949 on our page.

3. How to find GCD of 705, 387, 92, 949 on a calculator?

You can find the GCD of 705, 387, 92, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.