GCD of 854, 188, 89, 765 Calculator

Given Input numbers are 854, 188, 89, 765

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 854, 188, 89, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 188, 89, 765 is 1.

Therefore, GCD of numbers 854, 188, 89, 765 is 1

Given Input Data is 854, 188, 89, 765

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 188 is 2 x 2 x 47

Prime Factorization of 89 is 89

Prime Factorization of 765 is 3 x 3 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(854, 188) = 80276

GCD(854, 188) = ( 854 x 188 ) / 80276

GCD(854, 188) = 160552 / 80276

GCD(854, 188) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 854, 188, 89, 765 is 1

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• GCD of 226, 491, 65, 523
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1. What is the GCD of 854, 188, 89, 765?

GCD of 854, 188, 89, 765 is 1

2. Where do I get the detailed procedure to find GCD of 854, 188, 89, 765?

You can find a detailed procedure to find GCD of 854, 188, 89, 765 on our page.

3. How to find GCD of 854, 188, 89, 765 on a calculator?

You can find the GCD of 854, 188, 89, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.