Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6947/271,8977/3507
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 6947,8977
Greatest Common Factor of Numerators i.e. GCF of 6947,8977 is 1 .
LCM of Denominators means LCM of 271,3507 as per the given fractions.
LCM of 271,3507 is 950397 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6947,8977
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6947
List of positive integer factors of 6947 that divides 6947 without a remainder.
1,6947
Factors of 8977
List of positive integer factors of 8977 that divides 8977 without a remainder.
1,47,191,8977
Greatest Common Factor
We found the factors 6947,8977 . The biggest common factor number is the GCF number.
So the greatest common factor 6947,8977 is 1.
Lets's calculate LCM of 271,3507
Given numbers has no common factors except 1. So, there LCM is their product i.e 950397
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/950397
Therefore, the GCF of Fractions 6947/271,8977/3507 is 1/950397
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 271,3507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,3507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,3507) x common factors =1 x 1 = 1
LCM(271,3507) = ( 271 × 3507 ) / 1
LCM(271,3507) = 950397 / 1
LCM(271,3507) = 950397
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 6947/271, 8977/3507?
Answer: GCF of Numerators as per given numbers 6947/271, 8977/3507 is
GCF of Numerators i.e. for 6947,8977 is 1
LCM of denominators i.e. for 271,3507 is 950397.
Thus, GCF of Fractions is 1/950397.Finally, GCF of Fractions for 6947/271, 8977/3507 is 1/950397.