Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1096/785,9371/7283
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 1096,9371
Greatest Common Factor of Numerators i.e. GCF of 1096,9371 is 1 .
LCM of Denominators means LCM of 785,7283 as per the given fractions.
LCM of 785,7283 is 5717155 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1096,9371
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1096
List of positive integer factors of 1096 that divides 1096 without a remainder.
1,2,4,8,137,274,548,1096
Factors of 9371
List of positive integer factors of 9371 that divides 9371 without a remainder.
1,9371
Greatest Common Factor
We found the factors 1096,9371 . The biggest common factor number is the GCF number.
So the greatest common factor 1096,9371 is 1.
Lets's calculate LCM of 785,7283
Given numbers has no common factors except 1. So, there LCM is their product i.e 5717155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5717155
Therefore, the GCF of Fractions 1096/785,9371/7283 is 1/5717155
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 785,7283 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,7283) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,7283) x common factors =1 x 1 = 1
LCM(785,7283) = ( 785 × 7283 ) / 1
LCM(785,7283) = 5717155 / 1
LCM(785,7283) = 5717155
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 1096/785, 9371/7283?
Answer: GCF of Numerators as per given numbers 1096/785, 9371/7283 is
GCF of Numerators i.e. for 1096,9371 is 1
LCM of denominators i.e. for 785,7283 is 5717155.
Thus, GCF of Fractions is 1/5717155.Finally, GCF of Fractions for 1096/785, 9371/7283 is 1/5717155.