Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9404/163,6257/598
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 9404,6257
Greatest Common Factor of Numerators i.e. GCF of 9404,6257 is 1 .
LCM of Denominators means LCM of 163,598 as per the given fractions.
LCM of 163,598 is 97474 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9404,6257
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9404
List of positive integer factors of 9404 that divides 9404 without a remainder.
1,2,4,2351,4702,9404
Factors of 6257
List of positive integer factors of 6257 that divides 6257 without a remainder.
1,6257
Greatest Common Factor
We found the factors 9404,6257 . The biggest common factor number is the GCF number.
So the greatest common factor 9404,6257 is 1.
Lets's calculate LCM of 163,598
Given numbers has no common factors except 1. So, there LCM is their product i.e 97474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97474
Therefore, the GCF of Fractions 9404/163,6257/598 is 1/97474
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 163,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,598) x common factors =1 x 1 = 1
LCM(163,598) = ( 163 × 598 ) / 1
LCM(163,598) = 97474 / 1
LCM(163,598) = 97474
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 9404/163, 6257/598?
Answer: GCF of Numerators as per given numbers 9404/163, 6257/598 is
GCF of Numerators i.e. for 9404,6257 is 1
LCM of denominators i.e. for 163,598 is 97474.
Thus, GCF of Fractions is 1/97474.Finally, GCF of Fractions for 9404/163, 6257/598 is 1/97474.