Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 249/795,771/886,915/104
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 249,771,915
Greatest Common Factor of Numerators i.e. GCF of 249,771,915 is 3 .
LCM of Denominators means LCM of 795,886,104 as per the given fractions.
LCM of 795,886,104 is 36627240 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 249,771,915
3 | 249, 771, 915 |
83, 257, 305 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 249,771,915 . The biggest common factor number is the GCF number.
So the greatest common factor 249,771,915 is 3.
Lets's calculate LCM of 795,886,104
2 | 795, 886, 104 |
795, 443, 52 |
∴ So the LCM of the given numbers is 2 x 795 x 443 x 52 = 36627240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/36627240
Therefore, the GCF of Fractions 249/795,771/886,915/104 is 3/36627240
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 795,886,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,886,104) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(795,886,104) x common factors =1 x 2 = 2
LCM(795,886,104) = ( 795 × 886 × 104 ) / 2
LCM(795,886,104) = 73254480 / 2
LCM(795,886,104) = 36627240
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 249/795, 771/886, 915/104?
Answer: GCF of Numerators as per given numbers 249/795, 771/886, 915/104 is
GCF of Numerators i.e. for 249,771,915 is 3
LCM of denominators i.e. for 795,886,104 is 36627240.
Thus, GCF of Fractions is 3/36627240.Finally, GCF of Fractions for 249/795, 771/886, 915/104 is 3/36627240.