Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 397/94,130/8018
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 397,130
Greatest Common Factor of Numerators i.e. GCF of 397,130 is 1 .
LCM of Denominators means LCM of 94,8018 as per the given fractions.
LCM of 94,8018 is 376846 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 397,130
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 397,130 . The biggest common factor number is the GCF number.
So the greatest common factor 397,130 is 1.
Lets's calculate LCM of 94,8018
2 | 94, 8018 |
47, 4009 |
∴ So the LCM of the given numbers is 2 x 47 x 4009 = 376846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376846
Therefore, the GCF of Fractions 397/94,130/8018 is 1/376846
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 94,8018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,8018) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,8018) x common factors =2 x 1 = 2
LCM(94,8018) = ( 94 × 8018 ) / 2
LCM(94,8018) = 753692 / 2
LCM(94,8018) = 376846
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 397/94, 130/8018?
Answer: GCF of Numerators as per given numbers 397/94, 130/8018 is
GCF of Numerators i.e. for 397,130 is 1
LCM of denominators i.e. for 94,8018 is 376846.
Thus, GCF of Fractions is 1/376846.Finally, GCF of Fractions for 397/94, 130/8018 is 1/376846.