Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 254/35,818/8640
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 254,818
Greatest Common Factor of Numerators i.e. GCF of 254,818 is 2 .
LCM of Denominators means LCM of 35,8640 as per the given fractions.
LCM of 35,8640 is 60480 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 254,818
2 | 254, 818 |
127, 409 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Greatest Common Factor
We found the factors 254,818 . The biggest common factor number is the GCF number.
So the greatest common factor 254,818 is 2.
Lets's calculate LCM of 35,8640
5 | 35, 8640 |
7, 1728 |
∴ So the LCM of the given numbers is 5 x 7 x 1728 = 60480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60480
Therefore, the GCF of Fractions 254/35,818/8640 is 2/60480
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 35,8640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,8640) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(35,8640) x common factors =5 x 1 = 5
LCM(35,8640) = ( 35 × 8640 ) / 5
LCM(35,8640) = 302400 / 5
LCM(35,8640) = 60480
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 254/35, 818/8640?
Answer: GCF of Numerators as per given numbers 254/35, 818/8640 is
GCF of Numerators i.e. for 254,818 is 2
LCM of denominators i.e. for 35,8640 is 60480.
Thus, GCF of Fractions is 2/60480.Finally, GCF of Fractions for 254/35, 818/8640 is 2/60480.