Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4246/291,7592/163
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 4246,7592
Greatest Common Factor of Numerators i.e. GCF of 4246,7592 is 2 .
LCM of Denominators means LCM of 291,163 as per the given fractions.
LCM of 291,163 is 47433 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4246,7592
2 | 4246, 7592 |
2123, 3796 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4246
List of positive integer factors of 4246 that divides 4246 without a remainder.
1,2,11,22,193,386,2123,4246
Factors of 7592
List of positive integer factors of 7592 that divides 7592 without a remainder.
1,2,4,8,13,26,52,73,104,146,292,584,949,1898,3796,7592
Greatest Common Factor
We found the factors 4246,7592 . The biggest common factor number is the GCF number.
So the greatest common factor 4246,7592 is 2.
Lets's calculate LCM of 291,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 47433
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47433
Therefore, the GCF of Fractions 4246/291,7592/163 is 2/47433
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 291,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(291,163) x common factors =1 x 1 = 1
LCM(291,163) = ( 291 × 163 ) / 1
LCM(291,163) = 47433 / 1
LCM(291,163) = 47433
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 4246/291, 7592/163?
Answer: GCF of Numerators as per given numbers 4246/291, 7592/163 is
GCF of Numerators i.e. for 4246,7592 is 2
LCM of denominators i.e. for 291,163 is 47433.
Thus, GCF of Fractions is 2/47433.Finally, GCF of Fractions for 4246/291, 7592/163 is 2/47433.