Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7362/44,7222/976
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 7362,7222
Greatest Common Factor of Numerators i.e. GCF of 7362,7222 is 2 .
LCM of Denominators means LCM of 44,976 as per the given fractions.
LCM of 44,976 is 10736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7362,7222
2 | 7362, 7222 |
3681, 3611 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7362
List of positive integer factors of 7362 that divides 7362 without a remainder.
1,2,3,6,9,18,409,818,1227,2454,3681,7362
Factors of 7222
List of positive integer factors of 7222 that divides 7222 without a remainder.
1,2,23,46,157,314,3611,7222
Greatest Common Factor
We found the factors 7362,7222 . The biggest common factor number is the GCF number.
So the greatest common factor 7362,7222 is 2.
Lets's calculate LCM of 44,976
2 | 44, 976 |
2 | 22, 488 |
11, 244 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 244 = 10736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10736
Therefore, the GCF of Fractions 7362/44,7222/976 is 2/10736
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 44,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,976) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(44,976) x common factors =4 x 1 = 4
LCM(44,976) = ( 44 × 976 ) / 4
LCM(44,976) = 42944 / 4
LCM(44,976) = 10736
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 7362/44, 7222/976?
Answer: GCF of Numerators as per given numbers 7362/44, 7222/976 is
GCF of Numerators i.e. for 7362,7222 is 2
LCM of denominators i.e. for 44,976 is 10736.
Thus, GCF of Fractions is 2/10736.Finally, GCF of Fractions for 7362/44, 7222/976 is 2/10736.