Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9161/32,7542/367
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 9161,7542
Greatest Common Factor of Numerators i.e. GCF of 9161,7542 is 1 .
LCM of Denominators means LCM of 32,367 as per the given fractions.
LCM of 32,367 is 11744 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9161,7542
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9161
List of positive integer factors of 9161 that divides 9161 without a remainder.
1,9161
Factors of 7542
List of positive integer factors of 7542 that divides 7542 without a remainder.
1,2,3,6,9,18,419,838,1257,2514,3771,7542
Greatest Common Factor
We found the factors 9161,7542 . The biggest common factor number is the GCF number.
So the greatest common factor 9161,7542 is 1.
Lets's calculate LCM of 32,367
Given numbers has no common factors except 1. So, there LCM is their product i.e 11744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11744
Therefore, the GCF of Fractions 9161/32,7542/367 is 1/11744
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 32,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,367) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,367) x common factors =1 x 1 = 1
LCM(32,367) = ( 32 × 367 ) / 1
LCM(32,367) = 11744 / 1
LCM(32,367) = 11744
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 9161/32, 7542/367?
Answer: GCF of Numerators as per given numbers 9161/32, 7542/367 is
GCF of Numerators i.e. for 9161,7542 is 1
LCM of denominators i.e. for 32,367 is 11744.
Thus, GCF of Fractions is 1/11744.Finally, GCF of Fractions for 9161/32, 7542/367 is 1/11744.