Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8667/48,6939/148
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 8667,6939
Greatest Common Factor of Numerators i.e. GCF of 8667,6939 is 27 .
LCM of Denominators means LCM of 48,148 as per the given fractions.
LCM of 48,148 is 1776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8667,6939
3 | 8667, 6939 |
3 | 2889, 2313 |
3 | 963, 771 |
321, 257 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Factors of 8667
List of positive integer factors of 8667 that divides 8667 without a remainder.
1,3,9,27,81,107,321,963,2889,8667
Factors of 6939
List of positive integer factors of 6939 that divides 6939 without a remainder.
1,3,9,27,257,771,2313,6939
Greatest Common Factor
We found the factors 8667,6939 . The biggest common factor number is the GCF number.
So the greatest common factor 8667,6939 is 27.
Lets's calculate LCM of 48,148
2 | 48, 148 |
2 | 24, 74 |
12, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 12 x 37 = 1776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/1776
Therefore, the GCF of Fractions 8667/48,6939/148 is 27/1776
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 48,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,148) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(48,148) x common factors =4 x 1 = 4
LCM(48,148) = ( 48 × 148 ) / 4
LCM(48,148) = 7104 / 4
LCM(48,148) = 1776
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 8667/48, 6939/148?
Answer: GCF of Numerators as per given numbers 8667/48, 6939/148 is
GCF of Numerators i.e. for 8667,6939 is 27
LCM of denominators i.e. for 48,148 is 1776.
Thus, GCF of Fractions is 27/1776.Finally, GCF of Fractions for 8667/48, 6939/148 is 27/1776.