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 890, 104, 57, 952 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 104, 57, 952 is 1
GCD(890, 104, 57, 952) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 104, 57, 952 is 1
GCD(890, 104, 57, 952) = 1
Given Input numbers are 890, 104, 57, 952
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Greatest Common Divisior
We found the divisors of 890, 104, 57, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 104, 57, 952 is 1.
Therefore, GCD of numbers 890, 104, 57, 952 is 1
Given Input Data is 890, 104, 57, 952
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 57 is 3 x 19
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
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(890, 104) = 46280
GCD(890, 104) = ( 890 x 104 ) / 46280
GCD(890, 104) = 92560 / 46280
GCD(890, 104) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 952
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 952) = 952
GCD(1, 952) = ( 1 x 952 ) / 952
GCD(1, 952) = 952 / 952
GCD(1, 952) = 1
GCD of 890, 104, 57, 952 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 104, 57, 952?
GCD of 890, 104, 57, 952 is 1
2. Where do I get the detailed procedure to find GCD of 890, 104, 57, 952?
You can find a detailed procedure to find GCD of 890, 104, 57, 952 on our page.
3. How to find GCD of 890, 104, 57, 952 on a calculator?
You can find the GCD of 890, 104, 57, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.