Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4911/421,9770/8433
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 4911,9770
Greatest Common Factor of Numerators i.e. GCF of 4911,9770 is 1 .
LCM of Denominators means LCM of 421,8433 as per the given fractions.
LCM of 421,8433 is 3550293 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4911,9770
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4911
List of positive integer factors of 4911 that divides 4911 without a remainder.
1,3,1637,4911
Factors of 9770
List of positive integer factors of 9770 that divides 9770 without a remainder.
1,2,5,10,977,1954,4885,9770
Greatest Common Factor
We found the factors 4911,9770 . The biggest common factor number is the GCF number.
So the greatest common factor 4911,9770 is 1.
Lets's calculate LCM of 421,8433
Given numbers has no common factors except 1. So, there LCM is their product i.e 3550293
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3550293
Therefore, the GCF of Fractions 4911/421,9770/8433 is 1/3550293
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 421,8433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,8433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,8433) x common factors =1 x 1 = 1
LCM(421,8433) = ( 421 × 8433 ) / 1
LCM(421,8433) = 3550293 / 1
LCM(421,8433) = 3550293
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 4911/421, 9770/8433?
Answer: GCF of Numerators as per given numbers 4911/421, 9770/8433 is
GCF of Numerators i.e. for 4911,9770 is 1
LCM of denominators i.e. for 421,8433 is 3550293.
Thus, GCF of Fractions is 1/3550293.Finally, GCF of Fractions for 4911/421, 9770/8433 is 1/3550293.