Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 535/294,1391/2147
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 535,1391
Greatest Common Factor of Numerators i.e. GCF of 535,1391 is 107 .
LCM of Denominators means LCM of 294,2147 as per the given fractions.
LCM of 294,2147 is 631218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 535,1391
107 | 535, 1391 |
5, 13 |
∴ So the GCF of the given numbers is 107 = 107
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 1391
List of positive integer factors of 1391 that divides 1391 without a remainder.
1,13,107,1391
Greatest Common Factor
We found the factors 535,1391 . The biggest common factor number is the GCF number.
So the greatest common factor 535,1391 is 107.
Lets's calculate LCM of 294,2147
Given numbers has no common factors except 1. So, there LCM is their product i.e 631218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 107/631218
Therefore, the GCF of Fractions 535/294,1391/2147 is 107/631218
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 294,2147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,2147) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(294,2147) x common factors =1 x 1 = 1
LCM(294,2147) = ( 294 × 2147 ) / 1
LCM(294,2147) = 631218 / 1
LCM(294,2147) = 631218
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 535/294, 1391/2147?
Answer: GCF of Numerators as per given numbers 535/294, 1391/2147 is
GCF of Numerators i.e. for 535,1391 is 107
LCM of denominators i.e. for 294,2147 is 631218.
Thus, GCF of Fractions is 107/631218.Finally, GCF of Fractions for 535/294, 1391/2147 is 107/631218.