Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 357/755,3135/333
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 357,3135
Greatest Common Factor of Numerators i.e. GCF of 357,3135 is 3 .
LCM of Denominators means LCM of 755,333 as per the given fractions.
LCM of 755,333 is 251415 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 357,3135
3 | 357, 3135 |
119, 1045 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1,3,7,17,21,51,119,357
Factors of 3135
List of positive integer factors of 3135 that divides 3135 without a remainder.
1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135
Greatest Common Factor
We found the factors 357,3135 . The biggest common factor number is the GCF number.
So the greatest common factor 357,3135 is 3.
Lets's calculate LCM of 755,333
Given numbers has no common factors except 1. So, there LCM is their product i.e 251415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/251415
Therefore, the GCF of Fractions 357/755,3135/333 is 3/251415
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 755,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,333) x common factors =1 x 1 = 1
LCM(755,333) = ( 755 × 333 ) / 1
LCM(755,333) = 251415 / 1
LCM(755,333) = 251415
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 357/755, 3135/333?
Answer: GCF of Numerators as per given numbers 357/755, 3135/333 is
GCF of Numerators i.e. for 357,3135 is 3
LCM of denominators i.e. for 755,333 is 251415.
Thus, GCF of Fractions is 3/251415.Finally, GCF of Fractions for 357/755, 3135/333 is 3/251415.