Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 708/69,7928/854
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 708,7928
Greatest Common Factor of Numerators i.e. GCF of 708,7928 is 4 .
LCM of Denominators means LCM of 69,854 as per the given fractions.
LCM of 69,854 is 58926 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 708,7928
2 | 708, 7928 |
2 | 354, 3964 |
177, 1982 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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
Factors of 7928
List of positive integer factors of 7928 that divides 7928 without a remainder.
1,2,4,8,991,1982,3964,7928
Greatest Common Factor
We found the factors 708,7928 . The biggest common factor number is the GCF number.
So the greatest common factor 708,7928 is 4.
Lets's calculate LCM of 69,854
Given numbers has no common factors except 1. So, there LCM is their product i.e 58926
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/58926
Therefore, the GCF of Fractions 708/69,7928/854 is 4/58926
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 69,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,854) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,854) x common factors =1 x 1 = 1
LCM(69,854) = ( 69 × 854 ) / 1
LCM(69,854) = 58926 / 1
LCM(69,854) = 58926
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 708/69, 7928/854?
Answer: GCF of Numerators as per given numbers 708/69, 7928/854 is
GCF of Numerators i.e. for 708,7928 is 4
LCM of denominators i.e. for 69,854 is 58926.
Thus, GCF of Fractions is 4/58926.Finally, GCF of Fractions for 708/69, 7928/854 is 4/58926.