Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/35,25/57,50/15,32/342
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 26,25,50,32
Greatest Common Factor of Numerators i.e. GCF of 26,25,50,32 is 1 .
LCM of Denominators means LCM of 35,57,15,342 as per the given fractions.
LCM of 35,57,15,342 is 11970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 26,25,50,32
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 26
List of positive integer factors of 26 that divides 26 without a remainder.
1,2,13,26
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Greatest Common Factor
We found the factors 26,25,50,32 . The biggest common factor number is the GCF number.
So the greatest common factor 26,25,50,32 is 1.
Lets's calculate LCM of 35,57,15,342
3 | 35, 57, 15, 342 |
5 | 35, 19, 5, 114 |
19 | 7, 19, 1, 114 |
7, 1, 1, 6 |
∴ So the LCM of the given numbers is 3 x 5 x 19 x 7 x 1 x 1 x 6 = 11970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11970
Therefore, the GCF of Fractions 26/35,25/57,50/15,32/342 is 1/11970
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 35,57,15,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,57,15,342) = 1
common factors(in case of two or more numbers have common factors) = 855
GCF(35,57,15,342) x common factors =1 x 855 = 855
LCM(35,57,15,342) = ( 35 × 57 × 15 × 342 ) / 855
LCM(35,57,15,342) = 10234350 / 855
LCM(35,57,15,342) = 11970
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 26/35, 25/57, 50/15, 32/342?
Answer: GCF of Numerators as per given numbers 26/35, 25/57, 50/15, 32/342 is
GCF of Numerators i.e. for 26,25,50,32 is 1
LCM of denominators i.e. for 35,57,15,342 is 11970.
Thus, GCF of Fractions is 1/11970.Finally, GCF of Fractions for 26/35, 25/57, 50/15, 32/342 is 1/11970.