Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2726/62,5252/382
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 2726,5252
Greatest Common Factor of Numerators i.e. GCF of 2726,5252 is 2 .
LCM of Denominators means LCM of 62,382 as per the given fractions.
LCM of 62,382 is 11842 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2726,5252
2 | 2726, 5252 |
1363, 2626 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2726
List of positive integer factors of 2726 that divides 2726 without a remainder.
1,2,29,47,58,94,1363,2726
Factors of 5252
List of positive integer factors of 5252 that divides 5252 without a remainder.
1,2,4,13,26,52,101,202,404,1313,2626,5252
Greatest Common Factor
We found the factors 2726,5252 . The biggest common factor number is the GCF number.
So the greatest common factor 2726,5252 is 2.
Lets's calculate LCM of 62,382
2 | 62, 382 |
31, 191 |
∴ So the LCM of the given numbers is 2 x 31 x 191 = 11842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11842
Therefore, the GCF of Fractions 2726/62,5252/382 is 2/11842
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 62,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,382) x common factors =2 x 1 = 2
LCM(62,382) = ( 62 × 382 ) / 2
LCM(62,382) = 23684 / 2
LCM(62,382) = 11842
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 2726/62, 5252/382?
Answer: GCF of Numerators as per given numbers 2726/62, 5252/382 is
GCF of Numerators i.e. for 2726,5252 is 2
LCM of denominators i.e. for 62,382 is 11842.
Thus, GCF of Fractions is 2/11842.Finally, GCF of Fractions for 2726/62, 5252/382 is 2/11842.