GCD of 748, 633, 85, 141 Calculator

Given Input numbers are 748, 633, 85, 141

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 748, 633, 85, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 633, 85, 141 is 1.

Therefore, GCD of numbers 748, 633, 85, 141 is 1

Given Input Data is 748, 633, 85, 141

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 633 is 3 x 211

Prime Factorization of 85 is 5 x 17

Prime Factorization of 141 is 3 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(748, 633) = 473484

GCD(748, 633) = ( 748 x 633 ) / 473484

GCD(748, 633) = 473484 / 473484

GCD(748, 633) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 748, 633, 85, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 900, 28, 708
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• GCD of 447, 940, 11, 843
• GCD of 566, 146, 56, 720
• GCD of 787, 676, 61, 876

1. What is the GCD of 748, 633, 85, 141?

GCD of 748, 633, 85, 141 is 1

2. Where do I get the detailed procedure to find GCD of 748, 633, 85, 141?

You can find a detailed procedure to find GCD of 748, 633, 85, 141 on our page.

3. How to find GCD of 748, 633, 85, 141 on a calculator?

You can find the GCD of 748, 633, 85, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.