Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 874, 134, 470, 841 i.e. 1 largest integer that divides all the numbers equally.
GCD of 874, 134, 470, 841 is 1
GCD(874, 134, 470, 841) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 874, 134, 470, 841 is 1
GCD(874, 134, 470, 841) = 1
Given Input numbers are 874, 134, 470, 841
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 874
List of positive integer divisors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Greatest Common Divisior
We found the divisors of 874, 134, 470, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 134, 470, 841 is 1.
Therefore, GCD of numbers 874, 134, 470, 841 is 1
Given Input Data is 874, 134, 470, 841
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 874 is 2 x 19 x 23
Prime Factorization of 134 is 2 x 67
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 841 is 29 x 29
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(874, 134) = 58558
GCD(874, 134) = ( 874 x 134 ) / 58558
GCD(874, 134) = 117116 / 58558
GCD(874, 134) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 470) = 470
GCD(2, 470) = ( 2 x 470 ) / 470
GCD(2, 470) = 940 / 470
GCD(2, 470) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 841) = 1682
GCD(2, 841) = ( 2 x 841 ) / 1682
GCD(2, 841) = 1682 / 1682
GCD(2, 841) = 1
GCD of 874, 134, 470, 841 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 874, 134, 470, 841?
GCD of 874, 134, 470, 841 is 1
2. Where do I get the detailed procedure to find GCD of 874, 134, 470, 841?
You can find a detailed procedure to find GCD of 874, 134, 470, 841 on our page.
3. How to find GCD of 874, 134, 470, 841 on a calculator?
You can find the GCD of 874, 134, 470, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.