Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2720/353,7932/6963
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 2720,7932
Greatest Common Factor of Numerators i.e. GCF of 2720,7932 is 4 .
LCM of Denominators means LCM of 353,6963 as per the given fractions.
LCM of 353,6963 is 2457939 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2720,7932
2 | 2720, 7932 |
2 | 1360, 3966 |
680, 1983 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2720
List of positive integer factors of 2720 that divides 2720 without a remainder.
1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720
Factors of 7932
List of positive integer factors of 7932 that divides 7932 without a remainder.
1,2,3,4,6,12,661,1322,1983,2644,3966,7932
Greatest Common Factor
We found the factors 2720,7932 . The biggest common factor number is the GCF number.
So the greatest common factor 2720,7932 is 4.
Lets's calculate LCM of 353,6963
Given numbers has no common factors except 1. So, there LCM is their product i.e 2457939
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2457939
Therefore, the GCF of Fractions 2720/353,7932/6963 is 4/2457939
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 353,6963 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,6963) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,6963) x common factors =1 x 1 = 1
LCM(353,6963) = ( 353 × 6963 ) / 1
LCM(353,6963) = 2457939 / 1
LCM(353,6963) = 2457939
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 2720/353, 7932/6963?
Answer: GCF of Numerators as per given numbers 2720/353, 7932/6963 is
GCF of Numerators i.e. for 2720,7932 is 4
LCM of denominators i.e. for 353,6963 is 2457939.
Thus, GCF of Fractions is 4/2457939.Finally, GCF of Fractions for 2720/353, 7932/6963 is 4/2457939.