Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/35,294/32,293/813
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 348,294,293
Greatest Common Factor of Numerators i.e. GCF of 348,294,293 is 1 .
LCM of Denominators means LCM of 35,32,813 as per the given fractions.
LCM of 35,32,813 is 910560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 348,294,293
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Greatest Common Factor
We found the factors 348,294,293 . The biggest common factor number is the GCF number.
So the greatest common factor 348,294,293 is 1.
Lets's calculate LCM of 35,32,813
Given numbers has no common factors except 1. So, there LCM is their product i.e 910560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/910560
Therefore, the GCF of Fractions 348/35,294/32,293/813 is 1/910560
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 35,32,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,32,813) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,32,813) x common factors =1 x 1 = 1
LCM(35,32,813) = ( 35 × 32 × 813 ) / 1
LCM(35,32,813) = 910560 / 1
LCM(35,32,813) = 910560
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 348/35, 294/32, 293/813?
Answer: GCF of Numerators as per given numbers 348/35, 294/32, 293/813 is
GCF of Numerators i.e. for 348,294,293 is 1
LCM of denominators i.e. for 35,32,813 is 910560.
Thus, GCF of Fractions is 1/910560.Finally, GCF of Fractions for 348/35, 294/32, 293/813 is 1/910560.