Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/94,242/43,299/58
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 98,242,299
Greatest Common Factor of Numerators i.e. GCF of 98,242,299 is 1 .
LCM of Denominators means LCM of 94,43,58 as per the given fractions.
LCM of 94,43,58 is 117218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 98,242,299
∴ 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 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Greatest Common Factor
We found the factors 98,242,299 . The biggest common factor number is the GCF number.
So the greatest common factor 98,242,299 is 1.
Lets's calculate LCM of 94,43,58
2 | 94, 43, 58 |
47, 43, 29 |
∴ So the LCM of the given numbers is 2 x 47 x 43 x 29 = 117218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117218
Therefore, the GCF of Fractions 98/94,242/43,299/58 is 1/117218
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 94,43,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,43,58) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(94,43,58) x common factors =1 x 2 = 2
LCM(94,43,58) = ( 94 × 43 × 58 ) / 2
LCM(94,43,58) = 234436 / 2
LCM(94,43,58) = 117218
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 98/94, 242/43, 299/58?
Answer: GCF of Numerators as per given numbers 98/94, 242/43, 299/58 is
GCF of Numerators i.e. for 98,242,299 is 1
LCM of denominators i.e. for 94,43,58 is 117218.
Thus, GCF of Fractions is 1/117218.Finally, GCF of Fractions for 98/94, 242/43, 299/58 is 1/117218.