Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7796/546,7094/4108
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 7796,7094
Greatest Common Factor of Numerators i.e. GCF of 7796,7094 is 2 .
LCM of Denominators means LCM of 546,4108 as per the given fractions.
LCM of 546,4108 is 86268 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7796,7094
2 | 7796, 7094 |
3898, 3547 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7796
List of positive integer factors of 7796 that divides 7796 without a remainder.
1,2,4,1949,3898,7796
Factors of 7094
List of positive integer factors of 7094 that divides 7094 without a remainder.
1,2,3547,7094
Greatest Common Factor
We found the factors 7796,7094 . The biggest common factor number is the GCF number.
So the greatest common factor 7796,7094 is 2.
Lets's calculate LCM of 546,4108
2 | 546, 4108 |
13 | 273, 2054 |
21, 158 |
∴ So the LCM of the given numbers is 2 x 13 x 21 x 158 = 86268
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86268
Therefore, the GCF of Fractions 7796/546,7094/4108 is 2/86268
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 546,4108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,4108) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(546,4108) x common factors =26 x 1 = 26
LCM(546,4108) = ( 546 × 4108 ) / 26
LCM(546,4108) = 2242968 / 26
LCM(546,4108) = 86268
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 7796/546, 7094/4108?
Answer: GCF of Numerators as per given numbers 7796/546, 7094/4108 is
GCF of Numerators i.e. for 7796,7094 is 2
LCM of denominators i.e. for 546,4108 is 86268.
Thus, GCF of Fractions is 2/86268.Finally, GCF of Fractions for 7796/546, 7094/4108 is 2/86268.