Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4085/325,2937/1176
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 4085,2937
Greatest Common Factor of Numerators i.e. GCF of 4085,2937 is 1 .
LCM of Denominators means LCM of 325,1176 as per the given fractions.
LCM of 325,1176 is 382200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4085,2937
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4085
List of positive integer factors of 4085 that divides 4085 without a remainder.
1,5,19,43,95,215,817,4085
Factors of 2937
List of positive integer factors of 2937 that divides 2937 without a remainder.
1,3,11,33,89,267,979,2937
Greatest Common Factor
We found the factors 4085,2937 . The biggest common factor number is the GCF number.
So the greatest common factor 4085,2937 is 1.
Lets's calculate LCM of 325,1176
Given numbers has no common factors except 1. So, there LCM is their product i.e 382200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382200
Therefore, the GCF of Fractions 4085/325,2937/1176 is 1/382200
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 325,1176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,1176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,1176) x common factors =1 x 1 = 1
LCM(325,1176) = ( 325 × 1176 ) / 1
LCM(325,1176) = 382200 / 1
LCM(325,1176) = 382200
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 4085/325, 2937/1176?
Answer: GCF of Numerators as per given numbers 4085/325, 2937/1176 is
GCF of Numerators i.e. for 4085,2937 is 1
LCM of denominators i.e. for 325,1176 is 382200.
Thus, GCF of Fractions is 1/382200.Finally, GCF of Fractions for 4085/325, 2937/1176 is 1/382200.