Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8962/83,4206/359
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 8962,4206
Greatest Common Factor of Numerators i.e. GCF of 8962,4206 is 2 .
LCM of Denominators means LCM of 83,359 as per the given fractions.
LCM of 83,359 is 29797 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8962,4206
2 | 8962, 4206 |
4481, 2103 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8962
List of positive integer factors of 8962 that divides 8962 without a remainder.
1,2,4481,8962
Factors of 4206
List of positive integer factors of 4206 that divides 4206 without a remainder.
1,2,3,6,701,1402,2103,4206
Greatest Common Factor
We found the factors 8962,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 8962,4206 is 2.
Lets's calculate LCM of 83,359
Given numbers has no common factors except 1. So, there LCM is their product i.e 29797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29797
Therefore, the GCF of Fractions 8962/83,4206/359 is 2/29797
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 83,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,359) x common factors =1 x 1 = 1
LCM(83,359) = ( 83 × 359 ) / 1
LCM(83,359) = 29797 / 1
LCM(83,359) = 29797
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 8962/83, 4206/359?
Answer: GCF of Numerators as per given numbers 8962/83, 4206/359 is
GCF of Numerators i.e. for 8962,4206 is 2
LCM of denominators i.e. for 83,359 is 29797.
Thus, GCF of Fractions is 2/29797.Finally, GCF of Fractions for 8962/83, 4206/359 is 2/29797.