Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4146/468,9828/1109
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 4146,9828
Greatest Common Factor of Numerators i.e. GCF of 4146,9828 is 6 .
LCM of Denominators means LCM of 468,1109 as per the given fractions.
LCM of 468,1109 is 519012 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4146,9828
2 | 4146, 9828 |
3 | 2073, 4914 |
691, 1638 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 4146
List of positive integer factors of 4146 that divides 4146 without a remainder.
1,2,3,6,691,1382,2073,4146
Factors of 9828
List of positive integer factors of 9828 that divides 9828 without a remainder.
1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828
Greatest Common Factor
We found the factors 4146,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 4146,9828 is 6.
Lets's calculate LCM of 468,1109
Given numbers has no common factors except 1. So, there LCM is their product i.e 519012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/519012
Therefore, the GCF of Fractions 4146/468,9828/1109 is 6/519012
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 468,1109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,1109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(468,1109) x common factors =1 x 1 = 1
LCM(468,1109) = ( 468 × 1109 ) / 1
LCM(468,1109) = 519012 / 1
LCM(468,1109) = 519012
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 4146/468, 9828/1109?
Answer: GCF of Numerators as per given numbers 4146/468, 9828/1109 is
GCF of Numerators i.e. for 4146,9828 is 6
LCM of denominators i.e. for 468,1109 is 519012.
Thus, GCF of Fractions is 6/519012.Finally, GCF of Fractions for 4146/468, 9828/1109 is 6/519012.