Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 304/919,105/620,188/248
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 304,105,188
Greatest Common Factor of Numerators i.e. GCF of 304,105,188 is 1 .
LCM of Denominators means LCM of 919,620,248 as per the given fractions.
LCM of 919,620,248 is 1139560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 304,105,188
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 304,105,188 . The biggest common factor number is the GCF number.
So the greatest common factor 304,105,188 is 1.
Lets's calculate LCM of 919,620,248
2 | 919, 620, 248 |
2 | 919, 310, 124 |
31 | 919, 155, 62 |
919, 5, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 919 x 5 x 2 = 1139560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1139560
Therefore, the GCF of Fractions 304/919,105/620,188/248 is 1/1139560
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 919,620,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(919,620,248) = 1
common factors(in case of two or more numbers have common factors) = 124
GCF(919,620,248) x common factors =1 x 124 = 124
LCM(919,620,248) = ( 919 × 620 × 248 ) / 124
LCM(919,620,248) = 141305440 / 124
LCM(919,620,248) = 1139560
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 304/919, 105/620, 188/248?
Answer: GCF of Numerators as per given numbers 304/919, 105/620, 188/248 is
GCF of Numerators i.e. for 304,105,188 is 1
LCM of denominators i.e. for 919,620,248 is 1139560.
Thus, GCF of Fractions is 1/1139560.Finally, GCF of Fractions for 304/919, 105/620, 188/248 is 1/1139560.