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 88, 737, 919, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 737, 919, 111 is 1
GCD(88, 737, 919, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 737, 919, 111 is 1
GCD(88, 737, 919, 111) = 1
Given Input numbers are 88, 737, 919, 111
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 919
List of positive integer divisors of 919 that divides 919 without a remainder.
1, 919
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 88, 737, 919, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 737, 919, 111 is 1.
Therefore, GCD of numbers 88, 737, 919, 111 is 1
Given Input Data is 88, 737, 919, 111
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 737 is 11 x 67
Prime Factorization of 919 is 919
Prime Factorization of 111 is 3 x 37
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(88, 737) = 5896
GCD(88, 737) = ( 88 x 737 ) / 5896
GCD(88, 737) = 64856 / 5896
GCD(88, 737) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 919
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 919) = 10109
GCD(11, 919) = ( 11 x 919 ) / 10109
GCD(11, 919) = 10109 / 10109
GCD(11, 919) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
GCD of 88, 737, 919, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 737, 919, 111?
GCD of 88, 737, 919, 111 is 1
2. Where do I get the detailed procedure to find GCD of 88, 737, 919, 111?
You can find a detailed procedure to find GCD of 88, 737, 919, 111 on our page.
3. How to find GCD of 88, 737, 919, 111 on a calculator?
You can find the GCD of 88, 737, 919, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.