Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9187/948,4923/6277
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 9187,4923
Greatest Common Factor of Numerators i.e. GCF of 9187,4923 is 1 .
LCM of Denominators means LCM of 948,6277 as per the given fractions.
LCM of 948,6277 is 5950596 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9187,4923
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9187
List of positive integer factors of 9187 that divides 9187 without a remainder.
1,9187
Factors of 4923
List of positive integer factors of 4923 that divides 4923 without a remainder.
1,3,9,547,1641,4923
Greatest Common Factor
We found the factors 9187,4923 . The biggest common factor number is the GCF number.
So the greatest common factor 9187,4923 is 1.
Lets's calculate LCM of 948,6277
Given numbers has no common factors except 1. So, there LCM is their product i.e 5950596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5950596
Therefore, the GCF of Fractions 9187/948,4923/6277 is 1/5950596
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 948,6277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,6277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(948,6277) x common factors =1 x 1 = 1
LCM(948,6277) = ( 948 × 6277 ) / 1
LCM(948,6277) = 5950596 / 1
LCM(948,6277) = 5950596
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 9187/948, 4923/6277?
Answer: GCF of Numerators as per given numbers 9187/948, 4923/6277 is
GCF of Numerators i.e. for 9187,4923 is 1
LCM of denominators i.e. for 948,6277 is 5950596.
Thus, GCF of Fractions is 1/5950596.Finally, GCF of Fractions for 9187/948, 4923/6277 is 1/5950596.