GCD of 882, 949, 78, 434 Calculator

Given Input numbers are 882, 949, 78, 434

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Greatest Common Divisior

We found the divisors of 882, 949, 78, 434 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 949, 78, 434 is 1.

Therefore, GCD of numbers 882, 949, 78, 434 is 1

Given Input Data is 882, 949, 78, 434

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 949 is 13 x 73

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 434 is 2 x 7 x 31

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(882, 949) = 837018

GCD(882, 949) = ( 882 x 949 ) / 837018

GCD(882, 949) = 837018 / 837018

GCD(882, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 434

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

LCM(1, 434) = 434

GCD(1, 434) = ( 1 x 434 ) / 434

GCD(1, 434) = 434 / 434

GCD(1, 434) = 1

GCD of 882, 949, 78, 434 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 989, 39, 403
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• GCD of 746, 976, 66, 622
• GCD of 951, 974, 94, 441

1. What is the GCD of 882, 949, 78, 434?

GCD of 882, 949, 78, 434 is 1

2. Where do I get the detailed procedure to find GCD of 882, 949, 78, 434?

You can find a detailed procedure to find GCD of 882, 949, 78, 434 on our page.

3. How to find GCD of 882, 949, 78, 434 on a calculator?

You can find the GCD of 882, 949, 78, 434 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.