Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7117/402,1482/954
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 7117,1482
Greatest Common Factor of Numerators i.e. GCF of 7117,1482 is 1 .
LCM of Denominators means LCM of 402,954 as per the given fractions.
LCM of 402,954 is 63918 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7117,1482
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7117
List of positive integer factors of 7117 that divides 7117 without a remainder.
1,11,647,7117
Factors of 1482
List of positive integer factors of 1482 that divides 1482 without a remainder.
1,2,3,6,13,19,26,38,39,57,78,114,247,494,741,1482
Greatest Common Factor
We found the factors 7117,1482 . The biggest common factor number is the GCF number.
So the greatest common factor 7117,1482 is 1.
Lets's calculate LCM of 402,954
2 | 402, 954 |
3 | 201, 477 |
67, 159 |
∴ So the LCM of the given numbers is 2 x 3 x 67 x 159 = 63918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63918
Therefore, the GCF of Fractions 7117/402,1482/954 is 1/63918
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 402,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(402,954) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(402,954) x common factors =6 x 1 = 6
LCM(402,954) = ( 402 × 954 ) / 6
LCM(402,954) = 383508 / 6
LCM(402,954) = 63918
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 7117/402, 1482/954?
Answer: GCF of Numerators as per given numbers 7117/402, 1482/954 is
GCF of Numerators i.e. for 7117,1482 is 1
LCM of denominators i.e. for 402,954 is 63918.
Thus, GCF of Fractions is 1/63918.Finally, GCF of Fractions for 7117/402, 1482/954 is 1/63918.