Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2735/40,1708/111
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 2735,1708
Greatest Common Factor of Numerators i.e. GCF of 2735,1708 is 1 .
LCM of Denominators means LCM of 40,111 as per the given fractions.
LCM of 40,111 is 4440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2735,1708
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2735
List of positive integer factors of 2735 that divides 2735 without a remainder.
1,5,547,2735
Factors of 1708
List of positive integer factors of 1708 that divides 1708 without a remainder.
1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors 2735,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 2735,1708 is 1.
Lets's calculate LCM of 40,111
Given numbers has no common factors except 1. So, there LCM is their product i.e 4440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4440
Therefore, the GCF of Fractions 2735/40,1708/111 is 1/4440
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 40,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(40,111) x common factors =1 x 1 = 1
LCM(40,111) = ( 40 × 111 ) / 1
LCM(40,111) = 4440 / 1
LCM(40,111) = 4440
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 2735/40, 1708/111?
Answer: GCF of Numerators as per given numbers 2735/40, 1708/111 is
GCF of Numerators i.e. for 2735,1708 is 1
LCM of denominators i.e. for 40,111 is 4440.
Thus, GCF of Fractions is 1/4440.Finally, GCF of Fractions for 2735/40, 1708/111 is 1/4440.