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, 188, 572, 141 i.e. 1 largest integer that divides all the numbers equally.
GCD of 846, 188, 572, 141 is 1
GCD(846, 188, 572, 141) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 846, 188, 572, 141 is 1
GCD(846, 188, 572, 141) = 1
Given Input numbers are 846, 188, 572, 141
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 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
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 846, 188, 572, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 188, 572, 141 is 1.
Therefore, GCD of numbers 846, 188, 572, 141 is 1
Given Input Data is 846, 188, 572, 141
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 188 is 2 x 2 x 47
Prime Factorization of 572 is 2 x 2 x 11 x 13
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(846, 188) = 1692
GCD(846, 188) = ( 846 x 188 ) / 1692
GCD(846, 188) = 159048 / 1692
GCD(846, 188) = 94
Step2:
Here we consider the GCD from the above i.e. 94 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(94, 572) = 26884
GCD(94, 572) = ( 94 x 572 ) / 26884
GCD(94, 572) = 53768 / 26884
GCD(94, 572) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 141) = 282
GCD(2, 141) = ( 2 x 141 ) / 282
GCD(2, 141) = 282 / 282
GCD(2, 141) = 1
GCD of 846, 188, 572, 141 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 846, 188, 572, 141?
GCD of 846, 188, 572, 141 is 1
2. Where do I get the detailed procedure to find GCD of 846, 188, 572, 141?
You can find a detailed procedure to find GCD of 846, 188, 572, 141 on our page.
3. How to find GCD of 846, 188, 572, 141 on a calculator?
You can find the GCD of 846, 188, 572, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.