Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/236,2457/9232
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 26,2457
Greatest Common Factor of Numerators i.e. GCF of 26,2457 is 13 .
LCM of Denominators means LCM of 236,9232 as per the given fractions.
LCM of 236,9232 is 544688 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,2457
13 | 26, 2457 |
2, 189 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 2457
List of positive integer factors of 2457 that divides 2457 without a remainder.
1,3,7,9,13,21,27,39,63,91,117,189,273,351,819,2457
Greatest Common Factor
We found the factors 26,2457 . The biggest common factor number is the GCF number.
So the greatest common factor 26,2457 is 13.
Lets's calculate LCM of 236,9232
2 | 236, 9232 |
2 | 118, 4616 |
59, 2308 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 2308 = 544688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/544688
Therefore, the GCF of Fractions 26/236,2457/9232 is 13/544688
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 236,9232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,9232) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(236,9232) x common factors =4 x 1 = 4
LCM(236,9232) = ( 236 × 9232 ) / 4
LCM(236,9232) = 2178752 / 4
LCM(236,9232) = 544688
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 26/236, 2457/9232?
Answer: GCF of Numerators as per given numbers 26/236, 2457/9232 is
GCF of Numerators i.e. for 26,2457 is 13
LCM of denominators i.e. for 236,9232 is 544688.
Thus, GCF of Fractions is 13/544688.Finally, GCF of Fractions for 26/236, 2457/9232 is 13/544688.