Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4283/99,7115/709
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 4283,7115
Greatest Common Factor of Numerators i.e. GCF of 4283,7115 is 1 .
LCM of Denominators means LCM of 99,709 as per the given fractions.
LCM of 99,709 is 70191 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4283,7115
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4283
List of positive integer factors of 4283 that divides 4283 without a remainder.
1,4283
Factors of 7115
List of positive integer factors of 7115 that divides 7115 without a remainder.
1,5,1423,7115
Greatest Common Factor
We found the factors 4283,7115 . The biggest common factor number is the GCF number.
So the greatest common factor 4283,7115 is 1.
Lets's calculate LCM of 99,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 70191
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70191
Therefore, the GCF of Fractions 4283/99,7115/709 is 1/70191
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 99,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,709) x common factors =1 x 1 = 1
LCM(99,709) = ( 99 × 709 ) / 1
LCM(99,709) = 70191 / 1
LCM(99,709) = 70191
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 4283/99, 7115/709?
Answer: GCF of Numerators as per given numbers 4283/99, 7115/709 is
GCF of Numerators i.e. for 4283,7115 is 1
LCM of denominators i.e. for 99,709 is 70191.
Thus, GCF of Fractions is 1/70191.Finally, GCF of Fractions for 4283/99, 7115/709 is 1/70191.