Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9286/86,6978/414
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 9286,6978
Greatest Common Factor of Numerators i.e. GCF of 9286,6978 is 2 .
LCM of Denominators means LCM of 86,414 as per the given fractions.
LCM of 86,414 is 17802 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9286,6978
2 | 9286, 6978 |
4643, 3489 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9286
List of positive integer factors of 9286 that divides 9286 without a remainder.
1,2,4643,9286
Factors of 6978
List of positive integer factors of 6978 that divides 6978 without a remainder.
1,2,3,6,1163,2326,3489,6978
Greatest Common Factor
We found the factors 9286,6978 . The biggest common factor number is the GCF number.
So the greatest common factor 9286,6978 is 2.
Lets's calculate LCM of 86,414
2 | 86, 414 |
43, 207 |
∴ So the LCM of the given numbers is 2 x 43 x 207 = 17802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/17802
Therefore, the GCF of Fractions 9286/86,6978/414 is 2/17802
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 86,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(86,414) x common factors =2 x 1 = 2
LCM(86,414) = ( 86 × 414 ) / 2
LCM(86,414) = 35604 / 2
LCM(86,414) = 17802
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 9286/86, 6978/414?
Answer: GCF of Numerators as per given numbers 9286/86, 6978/414 is
GCF of Numerators i.e. for 9286,6978 is 2
LCM of denominators i.e. for 86,414 is 17802.
Thus, GCF of Fractions is 2/17802.Finally, GCF of Fractions for 9286/86, 6978/414 is 2/17802.