Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 304/77,956/3251
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 304,956
Greatest Common Factor of Numerators i.e. GCF of 304,956 is 4 .
LCM of Denominators means LCM of 77,3251 as per the given fractions.
LCM of 77,3251 is 250327 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 304,956
2 | 304, 956 |
2 | 152, 478 |
76, 239 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Greatest Common Factor
We found the factors 304,956 . The biggest common factor number is the GCF number.
So the greatest common factor 304,956 is 4.
Lets's calculate LCM of 77,3251
Given numbers has no common factors except 1. So, there LCM is their product i.e 250327
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/250327
Therefore, the GCF of Fractions 304/77,956/3251 is 4/250327
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 77,3251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,3251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,3251) x common factors =1 x 1 = 1
LCM(77,3251) = ( 77 × 3251 ) / 1
LCM(77,3251) = 250327 / 1
LCM(77,3251) = 250327
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 304/77, 956/3251?
Answer: GCF of Numerators as per given numbers 304/77, 956/3251 is
GCF of Numerators i.e. for 304,956 is 4
LCM of denominators i.e. for 77,3251 is 250327.
Thus, GCF of Fractions is 4/250327.Finally, GCF of Fractions for 304/77, 956/3251 is 4/250327.