Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5388/499,6942/434
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 5388,6942
Greatest Common Factor of Numerators i.e. GCF of 5388,6942 is 6 .
LCM of Denominators means LCM of 499,434 as per the given fractions.
LCM of 499,434 is 216566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5388,6942
2 | 5388, 6942 |
3 | 2694, 3471 |
898, 1157 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 5388
List of positive integer factors of 5388 that divides 5388 without a remainder.
1,2,3,4,6,12,449,898,1347,1796,2694,5388
Factors of 6942
List of positive integer factors of 6942 that divides 6942 without a remainder.
1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942
Greatest Common Factor
We found the factors 5388,6942 . The biggest common factor number is the GCF number.
So the greatest common factor 5388,6942 is 6.
Lets's calculate LCM of 499,434
Given numbers has no common factors except 1. So, there LCM is their product i.e 216566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/216566
Therefore, the GCF of Fractions 5388/499,6942/434 is 6/216566
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 499,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,434) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,434) x common factors =1 x 1 = 1
LCM(499,434) = ( 499 × 434 ) / 1
LCM(499,434) = 216566 / 1
LCM(499,434) = 216566
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 5388/499, 6942/434?
Answer: GCF of Numerators as per given numbers 5388/499, 6942/434 is
GCF of Numerators i.e. for 5388,6942 is 6
LCM of denominators i.e. for 499,434 is 216566.
Thus, GCF of Fractions is 6/216566.Finally, GCF of Fractions for 5388/499, 6942/434 is 6/216566.