GCD of 378, 680, 187 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 378, 680, 187 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 680, 187 is 1
GCD(378, 680, 187) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 680, 187 is 1
GCD(378, 680, 187) = 1
GCDof 378,680,187 is 1
Given Input numbers are 378, 680, 187
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Greatest Common Divisior
We found the divisors of 378, 680, 187 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 680, 187 is 1.
Therefore, GCD of numbers 378, 680, 187 is 1
Given Input Data is 378, 680, 187
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 187 is 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 378, 680, 187 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(378, 680) = 128520
GCD(378, 680) = ( 378 x 680 ) / 128520
GCD(378, 680) = 257040 / 128520
GCD(378, 680) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 187
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 187) = 374
GCD(2, 187) = ( 2 x 187 ) / 374
GCD(2, 187) = 374 / 374
GCD(2, 187) = 1
GCD of 378, 680, 187 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 378, 680, 187
1. What is the GCD of 378, 680, 187?
GCD of 378, 680, 187 is 1
2. Where do I get the detailed procedure to find GCD of 378, 680, 187?
You can find a detailed procedure to find GCD of 378, 680, 187 on our page.
3. How to find GCD of 378, 680, 187 on a calculator?
You can find the GCD of 378, 680, 187 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.