Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/81,60/49,345/328
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 91,60,345
Greatest Common Factor of Numerators i.e. GCF of 91,60,345 is 1 .
LCM of Denominators means LCM of 81,49,328 as per the given fractions.
LCM of 81,49,328 is 1301832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 91,60,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
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 91,60,345 . The biggest common factor number is the GCF number.
So the greatest common factor 91,60,345 is 1.
Lets's calculate LCM of 81,49,328
Given numbers has no common factors except 1. So, there LCM is their product i.e 1301832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1301832
Therefore, the GCF of Fractions 91/81,60/49,345/328 is 1/1301832
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 81,49,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,49,328) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(81,49,328) x common factors =1 x 1 = 1
LCM(81,49,328) = ( 81 × 49 × 328 ) / 1
LCM(81,49,328) = 1301832 / 1
LCM(81,49,328) = 1301832
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 91/81, 60/49, 345/328?
Answer: GCF of Numerators as per given numbers 91/81, 60/49, 345/328 is
GCF of Numerators i.e. for 91,60,345 is 1
LCM of denominators i.e. for 81,49,328 is 1301832.
Thus, GCF of Fractions is 1/1301832.Finally, GCF of Fractions for 91/81, 60/49, 345/328 is 1/1301832.