GCD of 378, 980, 175 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, 980, 175 i.e. 7 largest integer that divides all the numbers equally.
GCD of 378, 980, 175 is 7
GCD(378, 980, 175) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 980, 175 is 7
GCD(378, 980, 175) = 7
GCDof 378,980,175 is 7
Given Input numbers are 378, 980, 175
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 980
List of positive integer divisors of 980 that divides 980 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Greatest Common Divisior
We found the divisors of 378, 980, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 980, 175 is 7.
Therefore, GCD of numbers 378, 980, 175 is 7
Given Input Data is 378, 980, 175
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 980 is 2 x 2 x 5 x 7 x 7
Prime Factorization of 175 is 5 x 5 x 7
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
Finding GCD of 378, 980, 175 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, 980) = 26460
GCD(378, 980) = ( 378 x 980 ) / 26460
GCD(378, 980) = 370440 / 26460
GCD(378, 980) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 175) = 350
GCD(14, 175) = ( 14 x 175 ) / 350
GCD(14, 175) = 2450 / 350
GCD(14, 175) = 7
GCD of 378, 980, 175 is 7
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 378, 980, 175
1. What is the GCD of 378, 980, 175?
GCD of 378, 980, 175 is 7
2. Where do I get the detailed procedure to find GCD of 378, 980, 175?
You can find a detailed procedure to find GCD of 378, 980, 175 on our page.
3. How to find GCD of 378, 980, 175 on a calculator?
You can find the GCD of 378, 980, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.