Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 978/633,296/556,826/810
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 978,296,826
Greatest Common Factor of Numerators i.e. GCF of 978,296,826 is 2 .
LCM of Denominators means LCM of 633,556,810 as per the given fractions.
LCM of 633,556,810 is 47512980 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 978,296,826
2 | 978, 296, 826 |
489, 148, 413 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 978,296,826 . The biggest common factor number is the GCF number.
So the greatest common factor 978,296,826 is 2.
Lets's calculate LCM of 633,556,810
2 | 633, 556, 810 |
3 | 633, 278, 405 |
211, 278, 135 |
∴ So the LCM of the given numbers is 2 x 3 x 211 x 278 x 135 = 47512980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47512980
Therefore, the GCF of Fractions 978/633,296/556,826/810 is 2/47512980
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 633,556,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,556,810) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(633,556,810) x common factors =1 x 6 = 6
LCM(633,556,810) = ( 633 × 556 × 810 ) / 6
LCM(633,556,810) = 285077880 / 6
LCM(633,556,810) = 47512980
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 978/633, 296/556, 826/810?
Answer: GCF of Numerators as per given numbers 978/633, 296/556, 826/810 is
GCF of Numerators i.e. for 978,296,826 is 2
LCM of denominators i.e. for 633,556,810 is 47512980.
Thus, GCF of Fractions is 2/47512980.Finally, GCF of Fractions for 978/633, 296/556, 826/810 is 2/47512980.