GCD of 165, 754, 71, 968 Calculator

Given Input numbers are 165, 754, 71, 968

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 165, 754, 71, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 754, 71, 968 is 1.

Therefore, GCD of numbers 165, 754, 71, 968 is 1

Given Input Data is 165, 754, 71, 968

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

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 71 is 71

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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(165, 754) = 124410

GCD(165, 754) = ( 165 x 754 ) / 124410

GCD(165, 754) = 124410 / 124410

GCD(165, 754) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 165, 754, 71, 968 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 892, 69, 305
• GCD of 649, 526, 71, 952
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• GCD of 940, 804, 58, 836

1. What is the GCD of 165, 754, 71, 968?

GCD of 165, 754, 71, 968 is 1

2. Where do I get the detailed procedure to find GCD of 165, 754, 71, 968?

You can find a detailed procedure to find GCD of 165, 754, 71, 968 on our page.

3. How to find GCD of 165, 754, 71, 968 on a calculator?

You can find the GCD of 165, 754, 71, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.