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, 890, 352, 738 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 890, 352, 738 is 1
GCD(55, 890, 352, 738) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 890, 352, 738 is 1
GCD(55, 890, 352, 738) = 1
Given Input numbers are 55, 890, 352, 738
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 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 55, 890, 352, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 890, 352, 738 is 1.
Therefore, GCD of numbers 55, 890, 352, 738 is 1
Given Input Data is 55, 890, 352, 738
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
Prime Factorization of 738 is 2 x 3 x 3 x 41
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, 890) = 9790
GCD(55, 890) = ( 55 x 890 ) / 9790
GCD(55, 890) = 48950 / 9790
GCD(55, 890) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 352) = 1760
GCD(5, 352) = ( 5 x 352 ) / 1760
GCD(5, 352) = 1760 / 1760
GCD(5, 352) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
GCD of 55, 890, 352, 738 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 890, 352, 738?
GCD of 55, 890, 352, 738 is 1
2. Where do I get the detailed procedure to find GCD of 55, 890, 352, 738?
You can find a detailed procedure to find GCD of 55, 890, 352, 738 on our page.
3. How to find GCD of 55, 890, 352, 738 on a calculator?
You can find the GCD of 55, 890, 352, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.