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, 102, 734, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 102, 734, 357 is 1
GCD(55, 102, 734, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 102, 734, 357 is 1
GCD(55, 102, 734, 357) = 1
Given Input numbers are 55, 102, 734, 357
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 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 55, 102, 734, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 102, 734, 357 is 1.
Therefore, GCD of numbers 55, 102, 734, 357 is 1
Given Input Data is 55, 102, 734, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 102 is 2 x 3 x 17
Prime Factorization of 734 is 2 x 367
Prime Factorization of 357 is 3 x 7 x 17
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, 102) = 5610
GCD(55, 102) = ( 55 x 102 ) / 5610
GCD(55, 102) = 5610 / 5610
GCD(55, 102) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 734
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 734) = 734
GCD(1, 734) = ( 1 x 734 ) / 734
GCD(1, 734) = 734 / 734
GCD(1, 734) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 55, 102, 734, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 102, 734, 357?
GCD of 55, 102, 734, 357 is 1
2. Where do I get the detailed procedure to find GCD of 55, 102, 734, 357?
You can find a detailed procedure to find GCD of 55, 102, 734, 357 on our page.
3. How to find GCD of 55, 102, 734, 357 on a calculator?
You can find the GCD of 55, 102, 734, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.