Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/426,9414/7916
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 87,9414
Greatest Common Factor of Numerators i.e. GCF of 87,9414 is 3 .
LCM of Denominators means LCM of 426,7916 as per the given fractions.
LCM of 426,7916 is 1686108 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 87,9414
3 | 87, 9414 |
29, 3138 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 9414
List of positive integer factors of 9414 that divides 9414 without a remainder.
1,2,3,6,9,18,523,1046,1569,3138,4707,9414
Greatest Common Factor
We found the factors 87,9414 . The biggest common factor number is the GCF number.
So the greatest common factor 87,9414 is 3.
Lets's calculate LCM of 426,7916
2 | 426, 7916 |
213, 3958 |
∴ So the LCM of the given numbers is 2 x 213 x 3958 = 1686108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1686108
Therefore, the GCF of Fractions 87/426,9414/7916 is 3/1686108
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 426,7916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,7916) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(426,7916) x common factors =2 x 1 = 2
LCM(426,7916) = ( 426 × 7916 ) / 2
LCM(426,7916) = 3372216 / 2
LCM(426,7916) = 1686108
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 87/426, 9414/7916?
Answer: GCF of Numerators as per given numbers 87/426, 9414/7916 is
GCF of Numerators i.e. for 87,9414 is 3
LCM of denominators i.e. for 426,7916 is 1686108.
Thus, GCF of Fractions is 3/1686108.Finally, GCF of Fractions for 87/426, 9414/7916 is 3/1686108.