GCD of 867, 945, 164, 761 Calculator

Given Input numbers are 867, 945, 164, 761

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 867, 945, 164, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 945, 164, 761 is 1.

Therefore, GCD of numbers 867, 945, 164, 761 is 1

Given Input Data is 867, 945, 164, 761

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 761 is 761

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(867, 945) = 273105

GCD(867, 945) = ( 867 x 945 ) / 273105

GCD(867, 945) = 819315 / 273105

GCD(867, 945) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 164

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

LCM(3, 164) = 492

GCD(3, 164) = ( 3 x 164 ) / 492

GCD(3, 164) = 492 / 492

GCD(3, 164) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 761

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

LCM(1, 761) = 761

GCD(1, 761) = ( 1 x 761 ) / 761

GCD(1, 761) = 761 / 761

GCD(1, 761) = 1

GCD of 867, 945, 164, 761 is 1

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1. What is the GCD of 867, 945, 164, 761?

GCD of 867, 945, 164, 761 is 1

2. Where do I get the detailed procedure to find GCD of 867, 945, 164, 761?

You can find a detailed procedure to find GCD of 867, 945, 164, 761 on our page.

3. How to find GCD of 867, 945, 164, 761 on a calculator?

You can find the GCD of 867, 945, 164, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.