Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/878,798/316
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 73,798
Greatest Common Factor of Numerators i.e. GCF of 73,798 is 1 .
LCM of Denominators means LCM of 878,316 as per the given fractions.
LCM of 878,316 is 138724 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,798
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 73,798 . The biggest common factor number is the GCF number.
So the greatest common factor 73,798 is 1.
Lets's calculate LCM of 878,316
2 | 878, 316 |
439, 158 |
∴ So the LCM of the given numbers is 2 x 439 x 158 = 138724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138724
Therefore, the GCF of Fractions 73/878,798/316 is 1/138724
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 878,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,316) x common factors =2 x 1 = 2
LCM(878,316) = ( 878 × 316 ) / 2
LCM(878,316) = 277448 / 2
LCM(878,316) = 138724
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 73/878, 798/316?
Answer: GCF of Numerators as per given numbers 73/878, 798/316 is
GCF of Numerators i.e. for 73,798 is 1
LCM of denominators i.e. for 878,316 is 138724.
Thus, GCF of Fractions is 1/138724.Finally, GCF of Fractions for 73/878, 798/316 is 1/138724.