Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 128/3754,708/6663
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 128,708
Greatest Common Factor of Numerators i.e. GCF of 128,708 is 4 .
LCM of Denominators means LCM of 3754,6663 as per the given fractions.
LCM of 3754,6663 is 25012902 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 128,708
2 | 128, 708 |
2 | 64, 354 |
32, 177 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 128,708 . The biggest common factor number is the GCF number.
So the greatest common factor 128,708 is 4.
Lets's calculate LCM of 3754,6663
Given numbers has no common factors except 1. So, there LCM is their product i.e 25012902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/25012902
Therefore, the GCF of Fractions 128/3754,708/6663 is 4/25012902
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 3754,6663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3754,6663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3754,6663) x common factors =1 x 1 = 1
LCM(3754,6663) = ( 3754 × 6663 ) / 1
LCM(3754,6663) = 25012902 / 1
LCM(3754,6663) = 25012902
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 128/3754, 708/6663?
Answer: GCF of Numerators as per given numbers 128/3754, 708/6663 is
GCF of Numerators i.e. for 128,708 is 4
LCM of denominators i.e. for 3754,6663 is 25012902.
Thus, GCF of Fractions is 4/25012902.Finally, GCF of Fractions for 128/3754, 708/6663 is 4/25012902.