GCD of 769, 908, 948, 188 Calculator

Given Input numbers are 769, 908, 948, 188

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 188

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

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 769, 908, 948, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 908, 948, 188 is 1.

Therefore, GCD of numbers 769, 908, 948, 188 is 1

Given Input Data is 769, 908, 948, 188

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

Prime Factorization of 769 is 769

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 188 is 2 x 2 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(769, 908) = 698252

GCD(769, 908) = ( 769 x 908 ) / 698252

GCD(769, 908) = 698252 / 698252

GCD(769, 908) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 188

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

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

GCD(1, 188) = 188 / 188

GCD(1, 188) = 1

GCD of 769, 908, 948, 188 is 1

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1. What is the GCD of 769, 908, 948, 188?

GCD of 769, 908, 948, 188 is 1

2. Where do I get the detailed procedure to find GCD of 769, 908, 948, 188?

You can find a detailed procedure to find GCD of 769, 908, 948, 188 on our page.

3. How to find GCD of 769, 908, 948, 188 on a calculator?

You can find the GCD of 769, 908, 948, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.