Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/615,826/110
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 98,826
Greatest Common Factor of Numerators i.e. GCF of 98,826 is 14 .
LCM of Denominators means LCM of 615,110 as per the given fractions.
LCM of 615,110 is 13530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,826
2 | 98, 826 |
7 | 49, 413 |
7, 59 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Greatest Common Factor
We found the factors 98,826 . The biggest common factor number is the GCF number.
So the greatest common factor 98,826 is 14.
Lets's calculate LCM of 615,110
5 | 615, 110 |
123, 22 |
∴ So the LCM of the given numbers is 5 x 123 x 22 = 13530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/13530
Therefore, the GCF of Fractions 98/615,826/110 is 14/13530
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 615,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,110) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(615,110) x common factors =5 x 1 = 5
LCM(615,110) = ( 615 × 110 ) / 5
LCM(615,110) = 67650 / 5
LCM(615,110) = 13530
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 98/615, 826/110?
Answer: GCF of Numerators as per given numbers 98/615, 826/110 is
GCF of Numerators i.e. for 98,826 is 14
LCM of denominators i.e. for 615,110 is 13530.
Thus, GCF of Fractions is 14/13530.Finally, GCF of Fractions for 98/615, 826/110 is 14/13530.