GCD of 164, 861, 77, 350 Calculator

Given Input numbers are 164, 861, 77, 350

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

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 164, 861, 77, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 861, 77, 350 is 1.

Therefore, GCD of numbers 164, 861, 77, 350 is 1

Given Input Data is 164, 861, 77, 350

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 77 is 7 x 11

Prime Factorization of 350 is 2 x 5 x 5 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(164, 861) = 3444

GCD(164, 861) = ( 164 x 861 ) / 3444

GCD(164, 861) = 141204 / 3444

GCD(164, 861) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 77

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

LCM(41, 77) = 3157

GCD(41, 77) = ( 41 x 77 ) / 3157

GCD(41, 77) = 3157 / 3157

GCD(41, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 164, 861, 77, 350 is 1

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1. What is the GCD of 164, 861, 77, 350?

GCD of 164, 861, 77, 350 is 1

2. Where do I get the detailed procedure to find GCD of 164, 861, 77, 350?

You can find a detailed procedure to find GCD of 164, 861, 77, 350 on our page.

3. How to find GCD of 164, 861, 77, 350 on a calculator?

You can find the GCD of 164, 861, 77, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.