Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 94/203,1410/3536
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 94,1410
Greatest Common Factor of Numerators i.e. GCF of 94,1410 is 94 .
LCM of Denominators means LCM of 203,3536 as per the given fractions.
LCM of 203,3536 is 717808 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 94,1410
2 | 94, 1410 |
47 | 47, 705 |
1, 15 |
∴ So the GCF of the given numbers is 2 x 47 = 94
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 1410
List of positive integer factors of 1410 that divides 1410 without a remainder.
1,2,3,5,6,10,15,30,47,94,141,235,282,470,705,1410
Greatest Common Factor
We found the factors 94,1410 . The biggest common factor number is the GCF number.
So the greatest common factor 94,1410 is 94.
Lets's calculate LCM of 203,3536
Given numbers has no common factors except 1. So, there LCM is their product i.e 717808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 94/717808
Therefore, the GCF of Fractions 94/203,1410/3536 is 94/717808
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 203,3536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,3536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,3536) x common factors =1 x 1 = 1
LCM(203,3536) = ( 203 × 3536 ) / 1
LCM(203,3536) = 717808 / 1
LCM(203,3536) = 717808
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 94/203, 1410/3536?
Answer: GCF of Numerators as per given numbers 94/203, 1410/3536 is
GCF of Numerators i.e. for 94,1410 is 94
LCM of denominators i.e. for 203,3536 is 717808.
Thus, GCF of Fractions is 94/717808.Finally, GCF of Fractions for 94/203, 1410/3536 is 94/717808.