Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9498/248,9201/6901
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 9498,9201
Greatest Common Factor of Numerators i.e. GCF of 9498,9201 is 3 .
LCM of Denominators means LCM of 248,6901 as per the given fractions.
LCM of 248,6901 is 1711448 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9498,9201
3 | 9498, 9201 |
3166, 3067 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 9498
List of positive integer factors of 9498 that divides 9498 without a remainder.
1,2,3,6,1583,3166,4749,9498
Factors of 9201
List of positive integer factors of 9201 that divides 9201 without a remainder.
1,3,3067,9201
Greatest Common Factor
We found the factors 9498,9201 . The biggest common factor number is the GCF number.
So the greatest common factor 9498,9201 is 3.
Lets's calculate LCM of 248,6901
Given numbers has no common factors except 1. So, there LCM is their product i.e 1711448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1711448
Therefore, the GCF of Fractions 9498/248,9201/6901 is 3/1711448
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 248,6901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,6901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,6901) x common factors =1 x 1 = 1
LCM(248,6901) = ( 248 × 6901 ) / 1
LCM(248,6901) = 1711448 / 1
LCM(248,6901) = 1711448
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 9498/248, 9201/6901?
Answer: GCF of Numerators as per given numbers 9498/248, 9201/6901 is
GCF of Numerators i.e. for 9498,9201 is 3
LCM of denominators i.e. for 248,6901 is 1711448.
Thus, GCF of Fractions is 3/1711448.Finally, GCF of Fractions for 9498/248, 9201/6901 is 3/1711448.