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 777, 889, 43, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 777, 889, 43, 972 is 1
GCD(777, 889, 43, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 889, 43, 972 is 1
GCD(777, 889, 43, 972) = 1
Given Input numbers are 777, 889, 43, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 777, 889, 43, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 889, 43, 972 is 1.
Therefore, GCD of numbers 777, 889, 43, 972 is 1
Given Input Data is 777, 889, 43, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 889 is 7 x 127
Prime Factorization of 43 is 43
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(777, 889) = 98679
GCD(777, 889) = ( 777 x 889 ) / 98679
GCD(777, 889) = 690753 / 98679
GCD(777, 889) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 43
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 43) = 301
GCD(7, 43) = ( 7 x 43 ) / 301
GCD(7, 43) = 301 / 301
GCD(7, 43) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 777, 889, 43, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 889, 43, 972?
GCD of 777, 889, 43, 972 is 1
2. Where do I get the detailed procedure to find GCD of 777, 889, 43, 972?
You can find a detailed procedure to find GCD of 777, 889, 43, 972 on our page.
3. How to find GCD of 777, 889, 43, 972 on a calculator?
You can find the GCD of 777, 889, 43, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.