Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4232/796,2190/674
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 4232,2190
Greatest Common Factor of Numerators i.e. GCF of 4232,2190 is 2 .
LCM of Denominators means LCM of 796,674 as per the given fractions.
LCM of 796,674 is 268252 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4232,2190
2 | 4232, 2190 |
2116, 1095 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4232
List of positive integer factors of 4232 that divides 4232 without a remainder.
1,2,4,8,23,46,92,184,529,1058,2116,4232
Factors of 2190
List of positive integer factors of 2190 that divides 2190 without a remainder.
1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190
Greatest Common Factor
We found the factors 4232,2190 . The biggest common factor number is the GCF number.
So the greatest common factor 4232,2190 is 2.
Lets's calculate LCM of 796,674
2 | 796, 674 |
398, 337 |
∴ So the LCM of the given numbers is 2 x 398 x 337 = 268252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/268252
Therefore, the GCF of Fractions 4232/796,2190/674 is 2/268252
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 796,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(796,674) x common factors =2 x 1 = 2
LCM(796,674) = ( 796 × 674 ) / 2
LCM(796,674) = 536504 / 2
LCM(796,674) = 268252
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 4232/796, 2190/674?
Answer: GCF of Numerators as per given numbers 4232/796, 2190/674 is
GCF of Numerators i.e. for 4232,2190 is 2
LCM of denominators i.e. for 796,674 is 268252.
Thus, GCF of Fractions is 2/268252.Finally, GCF of Fractions for 4232/796, 2190/674 is 2/268252.