Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/116,98/8627
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 98,98
Greatest Common Factor of Numerators i.e. GCF of 98,98 is 98 .
LCM of Denominators means LCM of 116,8627 as per the given fractions.
LCM of 116,8627 is 1000732 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,98
2 | 98, 98 |
7 | 49, 49 |
7 | 7, 7 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 7 x 7 = 98
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Greatest Common Factor
We found the factors 98,98 . The biggest common factor number is the GCF number.
So the greatest common factor 98,98 is 98.
Lets's calculate LCM of 116,8627
Given numbers has no common factors except 1. So, there LCM is their product i.e 1000732
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 98/1000732
Therefore, the GCF of Fractions 98/116,98/8627 is 98/1000732
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 116,8627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,8627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(116,8627) x common factors =1 x 1 = 1
LCM(116,8627) = ( 116 × 8627 ) / 1
LCM(116,8627) = 1000732 / 1
LCM(116,8627) = 1000732
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 98/116, 98/8627?
Answer: GCF of Numerators as per given numbers 98/116, 98/8627 is
GCF of Numerators i.e. for 98,98 is 98
LCM of denominators i.e. for 116,8627 is 1000732.
Thus, GCF of Fractions is 98/1000732.Finally, GCF of Fractions for 98/116, 98/8627 is 98/1000732.