Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2648/265,4836/3910
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 2648,4836
Greatest Common Factor of Numerators i.e. GCF of 2648,4836 is 4 .
LCM of Denominators means LCM of 265,3910 as per the given fractions.
LCM of 265,3910 is 207230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2648,4836
2 | 2648, 4836 |
2 | 1324, 2418 |
662, 1209 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2648
List of positive integer factors of 2648 that divides 2648 without a remainder.
1,2,4,8,331,662,1324,2648
Factors of 4836
List of positive integer factors of 4836 that divides 4836 without a remainder.
1,2,3,4,6,12,13,26,31,39,52,62,78,93,124,156,186,372,403,806,1209,1612,2418,4836
Greatest Common Factor
We found the factors 2648,4836 . The biggest common factor number is the GCF number.
So the greatest common factor 2648,4836 is 4.
Lets's calculate LCM of 265,3910
5 | 265, 3910 |
53, 782 |
∴ So the LCM of the given numbers is 5 x 53 x 782 = 207230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/207230
Therefore, the GCF of Fractions 2648/265,4836/3910 is 4/207230
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 265,3910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,3910) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(265,3910) x common factors =5 x 1 = 5
LCM(265,3910) = ( 265 × 3910 ) / 5
LCM(265,3910) = 1036150 / 5
LCM(265,3910) = 207230
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 2648/265, 4836/3910?
Answer: GCF of Numerators as per given numbers 2648/265, 4836/3910 is
GCF of Numerators i.e. for 2648,4836 is 4
LCM of denominators i.e. for 265,3910 is 207230.
Thus, GCF of Fractions is 4/207230.Finally, GCF of Fractions for 2648/265, 4836/3910 is 4/207230.