Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9571/354,4849/7580
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 9571,4849
Greatest Common Factor of Numerators i.e. GCF of 9571,4849 is 1 .
LCM of Denominators means LCM of 354,7580 as per the given fractions.
LCM of 354,7580 is 1341660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9571,4849
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9571
List of positive integer factors of 9571 that divides 9571 without a remainder.
1,17,563,9571
Factors of 4849
List of positive integer factors of 4849 that divides 4849 without a remainder.
1,13,373,4849
Greatest Common Factor
We found the factors 9571,4849 . The biggest common factor number is the GCF number.
So the greatest common factor 9571,4849 is 1.
Lets's calculate LCM of 354,7580
2 | 354, 7580 |
177, 3790 |
∴ So the LCM of the given numbers is 2 x 177 x 3790 = 1341660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1341660
Therefore, the GCF of Fractions 9571/354,4849/7580 is 1/1341660
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 354,7580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,7580) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(354,7580) x common factors =2 x 1 = 2
LCM(354,7580) = ( 354 × 7580 ) / 2
LCM(354,7580) = 2683320 / 2
LCM(354,7580) = 1341660
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 9571/354, 4849/7580?
Answer: GCF of Numerators as per given numbers 9571/354, 4849/7580 is
GCF of Numerators i.e. for 9571,4849 is 1
LCM of denominators i.e. for 354,7580 is 1341660.
Thus, GCF of Fractions is 1/1341660.Finally, GCF of Fractions for 9571/354, 4849/7580 is 1/1341660.