Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 515/836,1475/2467
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 515,1475
Greatest Common Factor of Numerators i.e. GCF of 515,1475 is 5 .
LCM of Denominators means LCM of 836,2467 as per the given fractions.
LCM of 836,2467 is 2062412 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 515,1475
5 | 515, 1475 |
103, 295 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 1475
List of positive integer factors of 1475 that divides 1475 without a remainder.
1,5,25,59,295,1475
Greatest Common Factor
We found the factors 515,1475 . The biggest common factor number is the GCF number.
So the greatest common factor 515,1475 is 5.
Lets's calculate LCM of 836,2467
Given numbers has no common factors except 1. So, there LCM is their product i.e 2062412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2062412
Therefore, the GCF of Fractions 515/836,1475/2467 is 5/2062412
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 836,2467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(836,2467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(836,2467) x common factors =1 x 1 = 1
LCM(836,2467) = ( 836 × 2467 ) / 1
LCM(836,2467) = 2062412 / 1
LCM(836,2467) = 2062412
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 515/836, 1475/2467?
Answer: GCF of Numerators as per given numbers 515/836, 1475/2467 is
GCF of Numerators i.e. for 515,1475 is 5
LCM of denominators i.e. for 836,2467 is 2062412.
Thus, GCF of Fractions is 5/2062412.Finally, GCF of Fractions for 515/836, 1475/2467 is 5/2062412.