Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/98,41/58,308/733
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 98,41,308
Greatest Common Factor of Numerators i.e. GCF of 98,41,308 is 1 .
LCM of Denominators means LCM of 98,58,733 as per the given fractions.
LCM of 98,58,733 is 2083186 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,41,308
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 41
List of positive integer factors of 41 that divides 41 without a remainder.
1,41
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 98,41,308 . The biggest common factor number is the GCF number.
So the greatest common factor 98,41,308 is 1.
Lets's calculate LCM of 98,58,733
2 | 98, 58, 733 |
49, 29, 733 |
∴ So the LCM of the given numbers is 2 x 49 x 29 x 733 = 2083186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2083186
Therefore, the GCF of Fractions 98/98,41/58,308/733 is 1/2083186
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 98,58,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,58,733) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,58,733) x common factors =1 x 2 = 2
LCM(98,58,733) = ( 98 × 58 × 733 ) / 2
LCM(98,58,733) = 4166372 / 2
LCM(98,58,733) = 2083186
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 98/98, 41/58, 308/733?
Answer: GCF of Numerators as per given numbers 98/98, 41/58, 308/733 is
GCF of Numerators i.e. for 98,41,308 is 1
LCM of denominators i.e. for 98,58,733 is 2083186.
Thus, GCF of Fractions is 1/2083186.Finally, GCF of Fractions for 98/98, 41/58, 308/733 is 1/2083186.