Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9150/997,2119/279
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 9150,2119
Greatest Common Factor of Numerators i.e. GCF of 9150,2119 is 1 .
LCM of Denominators means LCM of 997,279 as per the given fractions.
LCM of 997,279 is 278163 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9150,2119
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9150
List of positive integer factors of 9150 that divides 9150 without a remainder.
1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150
Factors of 2119
List of positive integer factors of 2119 that divides 2119 without a remainder.
1,13,163,2119
Greatest Common Factor
We found the factors 9150,2119 . The biggest common factor number is the GCF number.
So the greatest common factor 9150,2119 is 1.
Lets's calculate LCM of 997,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 278163
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278163
Therefore, the GCF of Fractions 9150/997,2119/279 is 1/278163
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 997,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(997,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(997,279) x common factors =1 x 1 = 1
LCM(997,279) = ( 997 × 279 ) / 1
LCM(997,279) = 278163 / 1
LCM(997,279) = 278163
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 9150/997, 2119/279?
Answer: GCF of Numerators as per given numbers 9150/997, 2119/279 is
GCF of Numerators i.e. for 9150,2119 is 1
LCM of denominators i.e. for 997,279 is 278163.
Thus, GCF of Fractions is 1/278163.Finally, GCF of Fractions for 9150/997, 2119/279 is 1/278163.