GCD of 44, 138, 762, 461 Calculator

Given Input numbers are 44, 138, 762, 461

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

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

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 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

Greatest Common Divisior

We found the divisors of 44, 138, 762, 461 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 44, 138, 762, 461 is 1.

Therefore, GCD of numbers 44, 138, 762, 461 is 1

Given Input Data is 44, 138, 762, 461

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

Prime Factorization of 44 is 2 x 2 x 11

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 461 is 461

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(44, 138) = 3036

GCD(44, 138) = ( 44 x 138 ) / 3036

GCD(44, 138) = 6072 / 3036

GCD(44, 138) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 762

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

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

GCD(2, 762) = 1524 / 762

GCD(2, 762) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 461

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

LCM(2, 461) = 922

GCD(2, 461) = ( 2 x 461 ) / 922

GCD(2, 461) = 922 / 922

GCD(2, 461) = 1

GCD of 44, 138, 762, 461 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 948, 744, 548
• GCD of 68, 283, 783, 867
• GCD of 71, 637, 608, 948
• GCD of 18, 401, 336, 945
• GCD of 11, 441, 666, 545

1. What is the GCD of 44, 138, 762, 461?

GCD of 44, 138, 762, 461 is 1

2. Where do I get the detailed procedure to find GCD of 44, 138, 762, 461?

You can find a detailed procedure to find GCD of 44, 138, 762, 461 on our page.

3. How to find GCD of 44, 138, 762, 461 on a calculator?

You can find the GCD of 44, 138, 762, 461 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.