Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 53/98,12/74,799/38
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 53,12,799
Greatest Common Factor of Numerators i.e. GCF of 53,12,799 is 1 .
LCM of Denominators means LCM of 98,74,38 as per the given fractions.
LCM of 98,74,38 is 68894 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 53,12,799
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Greatest Common Factor
We found the factors 53,12,799 . The biggest common factor number is the GCF number.
So the greatest common factor 53,12,799 is 1.
Lets's calculate LCM of 98,74,38
2 | 98, 74, 38 |
49, 37, 19 |
∴ So the LCM of the given numbers is 2 x 49 x 37 x 19 = 68894
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68894
Therefore, the GCF of Fractions 53/98,12/74,799/38 is 1/68894
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 98,74,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,74,38) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(98,74,38) x common factors =2 x 2 = 4
LCM(98,74,38) = ( 98 × 74 × 38 ) / 4
LCM(98,74,38) = 275576 / 4
LCM(98,74,38) = 68894
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 53/98, 12/74, 799/38?
Answer: GCF of Numerators as per given numbers 53/98, 12/74, 799/38 is
GCF of Numerators i.e. for 53,12,799 is 1
LCM of denominators i.e. for 98,74,38 is 68894.
Thus, GCF of Fractions is 1/68894.Finally, GCF of Fractions for 53/98, 12/74, 799/38 is 1/68894.