Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 541/8158,158/9790
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 541,158
Greatest Common Factor of Numerators i.e. GCF of 541,158 is 1 .
LCM of Denominators means LCM of 8158,9790 as per the given fractions.
LCM of 8158,9790 is 39933410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 541,158
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Greatest Common Factor
We found the factors 541,158 . The biggest common factor number is the GCF number.
So the greatest common factor 541,158 is 1.
Lets's calculate LCM of 8158,9790
2 | 8158, 9790 |
4079, 4895 |
∴ So the LCM of the given numbers is 2 x 4079 x 4895 = 39933410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39933410
Therefore, the GCF of Fractions 541/8158,158/9790 is 1/39933410
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 8158,9790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8158,9790) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8158,9790) x common factors =2 x 1 = 2
LCM(8158,9790) = ( 8158 × 9790 ) / 2
LCM(8158,9790) = 79866820 / 2
LCM(8158,9790) = 39933410
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 541/8158, 158/9790?
Answer: GCF of Numerators as per given numbers 541/8158, 158/9790 is
GCF of Numerators i.e. for 541,158 is 1
LCM of denominators i.e. for 8158,9790 is 39933410.
Thus, GCF of Fractions is 1/39933410.Finally, GCF of Fractions for 541/8158, 158/9790 is 1/39933410.