Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/33,342/16,835/347
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 92,342,835
Greatest Common Factor of Numerators i.e. GCF of 92,342,835 is 1 .
LCM of Denominators means LCM of 33,16,347 as per the given fractions.
LCM of 33,16,347 is 183216 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 92,342,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 92,342,835 . The biggest common factor number is the GCF number.
So the greatest common factor 92,342,835 is 1.
Lets's calculate LCM of 33,16,347
Given numbers has no common factors except 1. So, there LCM is their product i.e 183216
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183216
Therefore, the GCF of Fractions 92/33,342/16,835/347 is 1/183216
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 33,16,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,16,347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,16,347) x common factors =1 x 1 = 1
LCM(33,16,347) = ( 33 × 16 × 347 ) / 1
LCM(33,16,347) = 183216 / 1
LCM(33,16,347) = 183216
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 92/33, 342/16, 835/347?
Answer: GCF of Numerators as per given numbers 92/33, 342/16, 835/347 is
GCF of Numerators i.e. for 92,342,835 is 1
LCM of denominators i.e. for 33,16,347 is 183216.
Thus, GCF of Fractions is 1/183216.Finally, GCF of Fractions for 92/33, 342/16, 835/347 is 1/183216.