Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 123/264,8544/941
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 123,8544
Greatest Common Factor of Numerators i.e. GCF of 123,8544 is 3 .
LCM of Denominators means LCM of 264,941 as per the given fractions.
LCM of 264,941 is 248424 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 123,8544
3 | 123, 8544 |
41, 2848 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Factors of 8544
List of positive integer factors of 8544 that divides 8544 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544
Greatest Common Factor
We found the factors 123,8544 . The biggest common factor number is the GCF number.
So the greatest common factor 123,8544 is 3.
Lets's calculate LCM of 264,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 248424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/248424
Therefore, the GCF of Fractions 123/264,8544/941 is 3/248424
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 264,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(264,941) x common factors =1 x 1 = 1
LCM(264,941) = ( 264 × 941 ) / 1
LCM(264,941) = 248424 / 1
LCM(264,941) = 248424
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 123/264, 8544/941?
Answer: GCF of Numerators as per given numbers 123/264, 8544/941 is
GCF of Numerators i.e. for 123,8544 is 3
LCM of denominators i.e. for 264,941 is 248424.
Thus, GCF of Fractions is 3/248424.Finally, GCF of Fractions for 123/264, 8544/941 is 3/248424.