Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3363/52,9117/510
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 3363,9117
Greatest Common Factor of Numerators i.e. GCF of 3363,9117 is 3 .
LCM of Denominators means LCM of 52,510 as per the given fractions.
LCM of 52,510 is 13260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3363,9117
3 | 3363, 9117 |
1121, 3039 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3363
List of positive integer factors of 3363 that divides 3363 without a remainder.
1,3,19,57,59,177,1121,3363
Factors of 9117
List of positive integer factors of 9117 that divides 9117 without a remainder.
1,3,9,1013,3039,9117
Greatest Common Factor
We found the factors 3363,9117 . The biggest common factor number is the GCF number.
So the greatest common factor 3363,9117 is 3.
Lets's calculate LCM of 52,510
2 | 52, 510 |
26, 255 |
∴ So the LCM of the given numbers is 2 x 26 x 255 = 13260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/13260
Therefore, the GCF of Fractions 3363/52,9117/510 is 3/13260
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 52,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(52,510) x common factors =2 x 1 = 2
LCM(52,510) = ( 52 × 510 ) / 2
LCM(52,510) = 26520 / 2
LCM(52,510) = 13260
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 3363/52, 9117/510?
Answer: GCF of Numerators as per given numbers 3363/52, 9117/510 is
GCF of Numerators i.e. for 3363,9117 is 3
LCM of denominators i.e. for 52,510 is 13260.
Thus, GCF of Fractions is 3/13260.Finally, GCF of Fractions for 3363/52, 9117/510 is 3/13260.