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 55, 156, 119, 759 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 156, 119, 759 is 1
GCD(55, 156, 119, 759) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 156, 119, 759 is 1
GCD(55, 156, 119, 759) = 1
Given Input numbers are 55, 156, 119, 759
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 759
List of positive integer divisors of 759 that divides 759 without a remainder.
1, 3, 11, 23, 33, 69, 253, 759
Greatest Common Divisior
We found the divisors of 55, 156, 119, 759 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 156, 119, 759 is 1.
Therefore, GCD of numbers 55, 156, 119, 759 is 1
Given Input Data is 55, 156, 119, 759
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 156 is 2 x 2 x 3 x 13
Prime Factorization of 119 is 7 x 17
Prime Factorization of 759 is 3 x 11 x 23
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(55, 156) = 8580
GCD(55, 156) = ( 55 x 156 ) / 8580
GCD(55, 156) = 8580 / 8580
GCD(55, 156) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 119
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
GCD(1, 119) = 119 / 119
GCD(1, 119) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 759
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 759) = 759
GCD(1, 759) = ( 1 x 759 ) / 759
GCD(1, 759) = 759 / 759
GCD(1, 759) = 1
GCD of 55, 156, 119, 759 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 156, 119, 759?
GCD of 55, 156, 119, 759 is 1
2. Where do I get the detailed procedure to find GCD of 55, 156, 119, 759?
You can find a detailed procedure to find GCD of 55, 156, 119, 759 on our page.
3. How to find GCD of 55, 156, 119, 759 on a calculator?
You can find the GCD of 55, 156, 119, 759 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.