Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/62,91/53,345/899
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 96,91,345
Greatest Common Factor of Numerators i.e. GCF of 96,91,345 is 1 .
LCM of Denominators means LCM of 62,53,899 as per the given fractions.
LCM of 62,53,899 is 95294 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,91,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 96,91,345 . The biggest common factor number is the GCF number.
So the greatest common factor 96,91,345 is 1.
Lets's calculate LCM of 62,53,899
31 | 62, 53, 899 |
2, 53, 29 |
∴ So the LCM of the given numbers is 31 x 2 x 53 x 29 = 95294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95294
Therefore, the GCF of Fractions 96/62,91/53,345/899 is 1/95294
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 62,53,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,53,899) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(62,53,899) x common factors =1 x 31 = 31
LCM(62,53,899) = ( 62 × 53 × 899 ) / 31
LCM(62,53,899) = 2954114 / 31
LCM(62,53,899) = 95294
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 96/62, 91/53, 345/899?
Answer: GCF of Numerators as per given numbers 96/62, 91/53, 345/899 is
GCF of Numerators i.e. for 96,91,345 is 1
LCM of denominators i.e. for 62,53,899 is 95294.
Thus, GCF of Fractions is 1/95294.Finally, GCF of Fractions for 96/62, 91/53, 345/899 is 1/95294.