Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9358/298,9867/465
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 9358,9867
Greatest Common Factor of Numerators i.e. GCF of 9358,9867 is 1 .
LCM of Denominators means LCM of 298,465 as per the given fractions.
LCM of 298,465 is 138570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9358,9867
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9358
List of positive integer factors of 9358 that divides 9358 without a remainder.
1,2,4679,9358
Factors of 9867
List of positive integer factors of 9867 that divides 9867 without a remainder.
1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867
Greatest Common Factor
We found the factors 9358,9867 . The biggest common factor number is the GCF number.
So the greatest common factor 9358,9867 is 1.
Lets's calculate LCM of 298,465
Given numbers has no common factors except 1. So, there LCM is their product i.e 138570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138570
Therefore, the GCF of Fractions 9358/298,9867/465 is 1/138570
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 298,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(298,465) x common factors =1 x 1 = 1
LCM(298,465) = ( 298 × 465 ) / 1
LCM(298,465) = 138570 / 1
LCM(298,465) = 138570
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 9358/298, 9867/465?
Answer: GCF of Numerators as per given numbers 9358/298, 9867/465 is
GCF of Numerators i.e. for 9358,9867 is 1
LCM of denominators i.e. for 298,465 is 138570.
Thus, GCF of Fractions is 1/138570.Finally, GCF of Fractions for 9358/298, 9867/465 is 1/138570.