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 147, 969, 80, 894 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 969, 80, 894 is 1
GCD(147, 969, 80, 894) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 969, 80, 894 is 1
GCD(147, 969, 80, 894) = 1
Given Input numbers are 147, 969, 80, 894
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 147, 969, 80, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 969, 80, 894 is 1.
Therefore, GCD of numbers 147, 969, 80, 894 is 1
Given Input Data is 147, 969, 80, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 894 is 2 x 3 x 149
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(147, 969) = 47481
GCD(147, 969) = ( 147 x 969 ) / 47481
GCD(147, 969) = 142443 / 47481
GCD(147, 969) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 80) = 240
GCD(3, 80) = ( 3 x 80 ) / 240
GCD(3, 80) = 240 / 240
GCD(3, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
GCD of 147, 969, 80, 894 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 969, 80, 894?
GCD of 147, 969, 80, 894 is 1
2. Where do I get the detailed procedure to find GCD of 147, 969, 80, 894?
You can find a detailed procedure to find GCD of 147, 969, 80, 894 on our page.
3. How to find GCD of 147, 969, 80, 894 on a calculator?
You can find the GCD of 147, 969, 80, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.