GCD of 114, 969, 762, 467 Calculator

Given Input numbers are 114, 969, 762, 467

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 114, 969, 762, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 969, 762, 467 is 1.

Therefore, GCD of numbers 114, 969, 762, 467 is 1

Given Input Data is 114, 969, 762, 467

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 969 is 3 x 17 x 19

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 467 is 467

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(114, 969) = 1938

GCD(114, 969) = ( 114 x 969 ) / 1938

GCD(114, 969) = 110466 / 1938

GCD(114, 969) = 57

Step2:

Here we consider the GCD from the above i.e. 57 as first number and the next as 762

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

LCM(57, 762) = 14478

GCD(57, 762) = ( 57 x 762 ) / 14478

GCD(57, 762) = 43434 / 14478

GCD(57, 762) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 467

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

LCM(3, 467) = 1401

GCD(3, 467) = ( 3 x 467 ) / 1401

GCD(3, 467) = 1401 / 1401

GCD(3, 467) = 1

GCD of 114, 969, 762, 467 is 1

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1. What is the GCD of 114, 969, 762, 467?

GCD of 114, 969, 762, 467 is 1

2. Where do I get the detailed procedure to find GCD of 114, 969, 762, 467?

You can find a detailed procedure to find GCD of 114, 969, 762, 467 on our page.

3. How to find GCD of 114, 969, 762, 467 on a calculator?

You can find the GCD of 114, 969, 762, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.