Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 308/901,7432/396
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 308,7432
Greatest Common Factor of Numerators i.e. GCF of 308,7432 is 4 .
LCM of Denominators means LCM of 901,396 as per the given fractions.
LCM of 901,396 is 356796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 308,7432
2 | 308, 7432 |
2 | 154, 3716 |
77, 1858 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 7432
List of positive integer factors of 7432 that divides 7432 without a remainder.
1,2,4,8,929,1858,3716,7432
Greatest Common Factor
We found the factors 308,7432 . The biggest common factor number is the GCF number.
So the greatest common factor 308,7432 is 4.
Lets's calculate LCM of 901,396
Given numbers has no common factors except 1. So, there LCM is their product i.e 356796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/356796
Therefore, the GCF of Fractions 308/901,7432/396 is 4/356796
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 901,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,396) x common factors =1 x 1 = 1
LCM(901,396) = ( 901 × 396 ) / 1
LCM(901,396) = 356796 / 1
LCM(901,396) = 356796
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 308/901, 7432/396?
Answer: GCF of Numerators as per given numbers 308/901, 7432/396 is
GCF of Numerators i.e. for 308,7432 is 4
LCM of denominators i.e. for 901,396 is 356796.
Thus, GCF of Fractions is 4/356796.Finally, GCF of Fractions for 308/901, 7432/396 is 4/356796.