Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9476/156,3511/401
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 9476,3511
Greatest Common Factor of Numerators i.e. GCF of 9476,3511 is 1 .
LCM of Denominators means LCM of 156,401 as per the given fractions.
LCM of 156,401 is 62556 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9476,3511
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9476
List of positive integer factors of 9476 that divides 9476 without a remainder.
1,2,4,23,46,92,103,206,412,2369,4738,9476
Factors of 3511
List of positive integer factors of 3511 that divides 3511 without a remainder.
1,3511
Greatest Common Factor
We found the factors 9476,3511 . The biggest common factor number is the GCF number.
So the greatest common factor 9476,3511 is 1.
Lets's calculate LCM of 156,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 62556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62556
Therefore, the GCF of Fractions 9476/156,3511/401 is 1/62556
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 156,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(156,401) x common factors =1 x 1 = 1
LCM(156,401) = ( 156 × 401 ) / 1
LCM(156,401) = 62556 / 1
LCM(156,401) = 62556
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 9476/156, 3511/401?
Answer: GCF of Numerators as per given numbers 9476/156, 3511/401 is
GCF of Numerators i.e. for 9476,3511 is 1
LCM of denominators i.e. for 156,401 is 62556.
Thus, GCF of Fractions is 1/62556.Finally, GCF of Fractions for 9476/156, 3511/401 is 1/62556.