Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8860/807,7413/150
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 8860,7413
Greatest Common Factor of Numerators i.e. GCF of 8860,7413 is 1 .
LCM of Denominators means LCM of 807,150 as per the given fractions.
LCM of 807,150 is 40350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8860,7413
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8860
List of positive integer factors of 8860 that divides 8860 without a remainder.
1,2,4,5,10,20,443,886,1772,2215,4430,8860
Factors of 7413
List of positive integer factors of 7413 that divides 7413 without a remainder.
1,3,7,21,353,1059,2471,7413
Greatest Common Factor
We found the factors 8860,7413 . The biggest common factor number is the GCF number.
So the greatest common factor 8860,7413 is 1.
Lets's calculate LCM of 807,150
3 | 807, 150 |
269, 50 |
∴ So the LCM of the given numbers is 3 x 269 x 50 = 40350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40350
Therefore, the GCF of Fractions 8860/807,7413/150 is 1/40350
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 807,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,150) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(807,150) x common factors =3 x 1 = 3
LCM(807,150) = ( 807 × 150 ) / 3
LCM(807,150) = 121050 / 3
LCM(807,150) = 40350
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 8860/807, 7413/150?
Answer: GCF of Numerators as per given numbers 8860/807, 7413/150 is
GCF of Numerators i.e. for 8860,7413 is 1
LCM of denominators i.e. for 807,150 is 40350.
Thus, GCF of Fractions is 1/40350.Finally, GCF of Fractions for 8860/807, 7413/150 is 1/40350.