Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9167/979,5924/153
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 9167,5924
Greatest Common Factor of Numerators i.e. GCF of 9167,5924 is 1 .
LCM of Denominators means LCM of 979,153 as per the given fractions.
LCM of 979,153 is 149787 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9167,5924
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9167
List of positive integer factors of 9167 that divides 9167 without a remainder.
1,89,103,9167
Factors of 5924
List of positive integer factors of 5924 that divides 5924 without a remainder.
1,2,4,1481,2962,5924
Greatest Common Factor
We found the factors 9167,5924 . The biggest common factor number is the GCF number.
So the greatest common factor 9167,5924 is 1.
Lets's calculate LCM of 979,153
Given numbers has no common factors except 1. So, there LCM is their product i.e 149787
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149787
Therefore, the GCF of Fractions 9167/979,5924/153 is 1/149787
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 979,153 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(979,153) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(979,153) x common factors =1 x 1 = 1
LCM(979,153) = ( 979 × 153 ) / 1
LCM(979,153) = 149787 / 1
LCM(979,153) = 149787
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 9167/979, 5924/153?
Answer: GCF of Numerators as per given numbers 9167/979, 5924/153 is
GCF of Numerators i.e. for 9167,5924 is 1
LCM of denominators i.e. for 979,153 is 149787.
Thus, GCF of Fractions is 1/149787.Finally, GCF of Fractions for 9167/979, 5924/153 is 1/149787.