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 889, 280, 300, 967 i.e. 1 largest integer that divides all the numbers equally.
GCD of 889, 280, 300, 967 is 1
GCD(889, 280, 300, 967) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 889, 280, 300, 967 is 1
GCD(889, 280, 300, 967) = 1
Given Input numbers are 889, 280, 300, 967
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
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 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Greatest Common Divisior
We found the divisors of 889, 280, 300, 967 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 280, 300, 967 is 1.
Therefore, GCD of numbers 889, 280, 300, 967 is 1
Given Input Data is 889, 280, 300, 967
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 889 is 7 x 127
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 967 is 967
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(889, 280) = 35560
GCD(889, 280) = ( 889 x 280 ) / 35560
GCD(889, 280) = 248920 / 35560
GCD(889, 280) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 300) = 2100
GCD(7, 300) = ( 7 x 300 ) / 2100
GCD(7, 300) = 2100 / 2100
GCD(7, 300) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 967
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 967) = 967
GCD(1, 967) = ( 1 x 967 ) / 967
GCD(1, 967) = 967 / 967
GCD(1, 967) = 1
GCD of 889, 280, 300, 967 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 889, 280, 300, 967?
GCD of 889, 280, 300, 967 is 1
2. Where do I get the detailed procedure to find GCD of 889, 280, 300, 967?
You can find a detailed procedure to find GCD of 889, 280, 300, 967 on our page.
3. How to find GCD of 889, 280, 300, 967 on a calculator?
You can find the GCD of 889, 280, 300, 967 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.