GCD of 949, 380, 164, 705 Calculator

Given Input numbers are 949, 380, 164, 705

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

Divisors of 949

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

1, 13, 73, 949

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 705

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

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

Greatest Common Divisior

We found the divisors of 949, 380, 164, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 949, 380, 164, 705 is 1.

Therefore, GCD of numbers 949, 380, 164, 705 is 1

Given Input Data is 949, 380, 164, 705

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

Prime Factorization of 949 is 13 x 73

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 705 is 3 x 5 x 47

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(949, 380) = 360620

GCD(949, 380) = ( 949 x 380 ) / 360620

GCD(949, 380) = 360620 / 360620

GCD(949, 380) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 164

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

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

GCD(1, 164) = 164 / 164

GCD(1, 164) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 949, 380, 164, 705 is 1

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1. What is the GCD of 949, 380, 164, 705?

GCD of 949, 380, 164, 705 is 1

2. Where do I get the detailed procedure to find GCD of 949, 380, 164, 705?

You can find a detailed procedure to find GCD of 949, 380, 164, 705 on our page.

3. How to find GCD of 949, 380, 164, 705 on a calculator?

You can find the GCD of 949, 380, 164, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.