Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7896/77,4239/314
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 7896,4239
Greatest Common Factor of Numerators i.e. GCF of 7896,4239 is 3 .
LCM of Denominators means LCM of 77,314 as per the given fractions.
LCM of 77,314 is 24178 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7896,4239
3 | 7896, 4239 |
2632, 1413 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7896
List of positive integer factors of 7896 that divides 7896 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,47,56,84,94,141,168,188,282,329,376,564,658,987,1128,1316,1974,2632,3948,7896
Factors of 4239
List of positive integer factors of 4239 that divides 4239 without a remainder.
1,3,9,27,157,471,1413,4239
Greatest Common Factor
We found the factors 7896,4239 . The biggest common factor number is the GCF number.
So the greatest common factor 7896,4239 is 3.
Lets's calculate LCM of 77,314
Given numbers has no common factors except 1. So, there LCM is their product i.e 24178
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/24178
Therefore, the GCF of Fractions 7896/77,4239/314 is 3/24178
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 77,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,314) x common factors =1 x 1 = 1
LCM(77,314) = ( 77 × 314 ) / 1
LCM(77,314) = 24178 / 1
LCM(77,314) = 24178
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 7896/77, 4239/314?
Answer: GCF of Numerators as per given numbers 7896/77, 4239/314 is
GCF of Numerators i.e. for 7896,4239 is 3
LCM of denominators i.e. for 77,314 is 24178.
Thus, GCF of Fractions is 3/24178.Finally, GCF of Fractions for 7896/77, 4239/314 is 3/24178.