Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 376/501,310/285
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 376,310
Greatest Common Factor of Numerators i.e. GCF of 376,310 is 2 .
LCM of Denominators means LCM of 501,285 as per the given fractions.
LCM of 501,285 is 47595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 376,310
2 | 376, 310 |
188, 155 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Greatest Common Factor
We found the factors 376,310 . The biggest common factor number is the GCF number.
So the greatest common factor 376,310 is 2.
Lets's calculate LCM of 501,285
3 | 501, 285 |
167, 95 |
∴ So the LCM of the given numbers is 3 x 167 x 95 = 47595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47595
Therefore, the GCF of Fractions 376/501,310/285 is 2/47595
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 501,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,285) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(501,285) x common factors =3 x 1 = 3
LCM(501,285) = ( 501 × 285 ) / 3
LCM(501,285) = 142785 / 3
LCM(501,285) = 47595
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 376/501, 310/285?
Answer: GCF of Numerators as per given numbers 376/501, 310/285 is
GCF of Numerators i.e. for 376,310 is 2
LCM of denominators i.e. for 501,285 is 47595.
Thus, GCF of Fractions is 2/47595.Finally, GCF of Fractions for 376/501, 310/285 is 2/47595.