Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9139/75,3697/118
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 9139,3697
Greatest Common Factor of Numerators i.e. GCF of 9139,3697 is 1 .
LCM of Denominators means LCM of 75,118 as per the given fractions.
LCM of 75,118 is 8850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9139,3697
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9139
List of positive integer factors of 9139 that divides 9139 without a remainder.
1,13,19,37,247,481,703,9139
Factors of 3697
List of positive integer factors of 3697 that divides 3697 without a remainder.
1,3697
Greatest Common Factor
We found the factors 9139,3697 . The biggest common factor number is the GCF number.
So the greatest common factor 9139,3697 is 1.
Lets's calculate LCM of 75,118
Given numbers has no common factors except 1. So, there LCM is their product i.e 8850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8850
Therefore, the GCF of Fractions 9139/75,3697/118 is 1/8850
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 75,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,118) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,118) x common factors =1 x 1 = 1
LCM(75,118) = ( 75 × 118 ) / 1
LCM(75,118) = 8850 / 1
LCM(75,118) = 8850
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 9139/75, 3697/118?
Answer: GCF of Numerators as per given numbers 9139/75, 3697/118 is
GCF of Numerators i.e. for 9139,3697 is 1
LCM of denominators i.e. for 75,118 is 8850.
Thus, GCF of Fractions is 1/8850.Finally, GCF of Fractions for 9139/75, 3697/118 is 1/8850.