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 846, 671, 280, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 846, 671, 280, 349 is 1
GCD(846, 671, 280, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 846, 671, 280, 349 is 1
GCD(846, 671, 280, 349) = 1
Given Input numbers are 846, 671, 280, 349
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 846, 671, 280, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 671, 280, 349 is 1.
Therefore, GCD of numbers 846, 671, 280, 349 is 1
Given Input Data is 846, 671, 280, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 671 is 11 x 61
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 349 is 349
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(846, 671) = 567666
GCD(846, 671) = ( 846 x 671 ) / 567666
GCD(846, 671) = 567666 / 567666
GCD(846, 671) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 280
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
GCD(1, 280) = 280 / 280
GCD(1, 280) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 846, 671, 280, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 846, 671, 280, 349?
GCD of 846, 671, 280, 349 is 1
2. Where do I get the detailed procedure to find GCD of 846, 671, 280, 349?
You can find a detailed procedure to find GCD of 846, 671, 280, 349 on our page.
3. How to find GCD of 846, 671, 280, 349 on a calculator?
You can find the GCD of 846, 671, 280, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.