Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4780/26,9911/528
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 4780,9911
Greatest Common Factor of Numerators i.e. GCF of 4780,9911 is 1 .
LCM of Denominators means LCM of 26,528 as per the given fractions.
LCM of 26,528 is 6864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4780,9911
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4780
List of positive integer factors of 4780 that divides 4780 without a remainder.
1,2,4,5,10,20,239,478,956,1195,2390,4780
Factors of 9911
List of positive integer factors of 9911 that divides 9911 without a remainder.
1,11,17,53,187,583,901,9911
Greatest Common Factor
We found the factors 4780,9911 . The biggest common factor number is the GCF number.
So the greatest common factor 4780,9911 is 1.
Lets's calculate LCM of 26,528
2 | 26, 528 |
13, 264 |
∴ So the LCM of the given numbers is 2 x 13 x 264 = 6864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6864
Therefore, the GCF of Fractions 4780/26,9911/528 is 1/6864
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 26,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,528) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,528) x common factors =2 x 1 = 2
LCM(26,528) = ( 26 × 528 ) / 2
LCM(26,528) = 13728 / 2
LCM(26,528) = 6864
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 4780/26, 9911/528?
Answer: GCF of Numerators as per given numbers 4780/26, 9911/528 is
GCF of Numerators i.e. for 4780,9911 is 1
LCM of denominators i.e. for 26,528 is 6864.
Thus, GCF of Fractions is 1/6864.Finally, GCF of Fractions for 4780/26, 9911/528 is 1/6864.