GCD of 637, 308, 355 Calculator
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 637, 308, 355 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 308, 355 is 1
GCD(637, 308, 355) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 308, 355 is 1
GCD(637, 308, 355) = 1
GCDof 637,308,355 is 1
Given Input numbers are 637, 308, 355
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
Divisors of 308
List of positive integer divisors of 308 that divides 308 without a remainder.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 355
List of positive integer divisors of 355 that divides 355 without a remainder.
1, 5, 71, 355
Greatest Common Divisior
We found the divisors of 637, 308, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 308, 355 is 1.
Therefore, GCD of numbers 637, 308, 355 is 1
Given Input Data is 637, 308, 355
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 308 is 2 x 2 x 7 x 11
Prime Factorization of 355 is 5 x 71
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 637, 308, 355 using LCM Formula
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(637, 308) = 28028
GCD(637, 308) = ( 637 x 308 ) / 28028
GCD(637, 308) = 196196 / 28028
GCD(637, 308) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 355
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 355) = 2485
GCD(7, 355) = ( 7 x 355 ) / 2485
GCD(7, 355) = 2485 / 2485
GCD(7, 355) = 1
GCD of 637, 308, 355 is 1
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FAQs on GCD of numbers 637, 308, 355
1. What is the GCD of 637, 308, 355?
GCD of 637, 308, 355 is 1
2. Where do I get the detailed procedure to find GCD of 637, 308, 355?
You can find a detailed procedure to find GCD of 637, 308, 355 on our page.
3. How to find GCD of 637, 308, 355 on a calculator?
You can find the GCD of 637, 308, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.