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, 761, 15, 550 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 761, 15, 550 is 1
GCD(890, 761, 15, 550) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 761, 15, 550 is 1
GCD(890, 761, 15, 550) = 1
Given Input numbers are 890, 761, 15, 550
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 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Divisors of 15
List of positive integer divisors of 15 that divides 15 without a remainder.
1, 3, 5, 15
Divisors of 550
List of positive integer divisors of 550 that divides 550 without a remainder.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Greatest Common Divisior
We found the divisors of 890, 761, 15, 550 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 761, 15, 550 is 1.
Therefore, GCD of numbers 890, 761, 15, 550 is 1
Given Input Data is 890, 761, 15, 550
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 761 is 761
Prime Factorization of 15 is 3 x 5
Prime Factorization of 550 is 2 x 5 x 5 x 11
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, 761) = 677290
GCD(890, 761) = ( 890 x 761 ) / 677290
GCD(890, 761) = 677290 / 677290
GCD(890, 761) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 15
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 15) = 15
GCD(1, 15) = ( 1 x 15 ) / 15
GCD(1, 15) = 15 / 15
GCD(1, 15) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 550
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 550) = 550
GCD(1, 550) = ( 1 x 550 ) / 550
GCD(1, 550) = 550 / 550
GCD(1, 550) = 1
GCD of 890, 761, 15, 550 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 761, 15, 550?
GCD of 890, 761, 15, 550 is 1
2. Where do I get the detailed procedure to find GCD of 890, 761, 15, 550?
You can find a detailed procedure to find GCD of 890, 761, 15, 550 on our page.
3. How to find GCD of 890, 761, 15, 550 on a calculator?
You can find the GCD of 890, 761, 15, 550 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.