Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8857/11,4880/890
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 8857,4880
Greatest Common Factor of Numerators i.e. GCF of 8857,4880 is 1 .
LCM of Denominators means LCM of 11,890 as per the given fractions.
LCM of 11,890 is 9790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8857,4880
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8857
List of positive integer factors of 8857 that divides 8857 without a remainder.
1,17,521,8857
Factors of 4880
List of positive integer factors of 4880 that divides 4880 without a remainder.
1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880
Greatest Common Factor
We found the factors 8857,4880 . The biggest common factor number is the GCF number.
So the greatest common factor 8857,4880 is 1.
Lets's calculate LCM of 11,890
Given numbers has no common factors except 1. So, there LCM is their product i.e 9790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9790
Therefore, the GCF of Fractions 8857/11,4880/890 is 1/9790
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 11,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(11,890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(11,890) x common factors =1 x 1 = 1
LCM(11,890) = ( 11 × 890 ) / 1
LCM(11,890) = 9790 / 1
LCM(11,890) = 9790
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 8857/11, 4880/890?
Answer: GCF of Numerators as per given numbers 8857/11, 4880/890 is
GCF of Numerators i.e. for 8857,4880 is 1
LCM of denominators i.e. for 11,890 is 9790.
Thus, GCF of Fractions is 1/9790.Finally, GCF of Fractions for 8857/11, 4880/890 is 1/9790.