Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8351/477,3331/176
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 8351,3331
Greatest Common Factor of Numerators i.e. GCF of 8351,3331 is 1 .
LCM of Denominators means LCM of 477,176 as per the given fractions.
LCM of 477,176 is 83952 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8351,3331
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8351
List of positive integer factors of 8351 that divides 8351 without a remainder.
1,7,1193,8351
Factors of 3331
List of positive integer factors of 3331 that divides 3331 without a remainder.
1,3331
Greatest Common Factor
We found the factors 8351,3331 . The biggest common factor number is the GCF number.
So the greatest common factor 8351,3331 is 1.
Lets's calculate LCM of 477,176
Given numbers has no common factors except 1. So, there LCM is their product i.e 83952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83952
Therefore, the GCF of Fractions 8351/477,3331/176 is 1/83952
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 477,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,176) x common factors =1 x 1 = 1
LCM(477,176) = ( 477 × 176 ) / 1
LCM(477,176) = 83952 / 1
LCM(477,176) = 83952
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 8351/477, 3331/176?
Answer: GCF of Numerators as per given numbers 8351/477, 3331/176 is
GCF of Numerators i.e. for 8351,3331 is 1
LCM of denominators i.e. for 477,176 is 83952.
Thus, GCF of Fractions is 1/83952.Finally, GCF of Fractions for 8351/477, 3331/176 is 1/83952.