Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1227/278,9278/7091
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 1227,9278
Greatest Common Factor of Numerators i.e. GCF of 1227,9278 is 1 .
LCM of Denominators means LCM of 278,7091 as per the given fractions.
LCM of 278,7091 is 1971298 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1227,9278
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1227
List of positive integer factors of 1227 that divides 1227 without a remainder.
1,3,409,1227
Factors of 9278
List of positive integer factors of 9278 that divides 9278 without a remainder.
1,2,4639,9278
Greatest Common Factor
We found the factors 1227,9278 . The biggest common factor number is the GCF number.
So the greatest common factor 1227,9278 is 1.
Lets's calculate LCM of 278,7091
Given numbers has no common factors except 1. So, there LCM is their product i.e 1971298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1971298
Therefore, the GCF of Fractions 1227/278,9278/7091 is 1/1971298
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 278,7091 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,7091) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,7091) x common factors =1 x 1 = 1
LCM(278,7091) = ( 278 × 7091 ) / 1
LCM(278,7091) = 1971298 / 1
LCM(278,7091) = 1971298
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 1227/278, 9278/7091?
Answer: GCF of Numerators as per given numbers 1227/278, 9278/7091 is
GCF of Numerators i.e. for 1227,9278 is 1
LCM of denominators i.e. for 278,7091 is 1971298.
Thus, GCF of Fractions is 1/1971298.Finally, GCF of Fractions for 1227/278, 9278/7091 is 1/1971298.