Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2737/85,4612/342
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 2737,4612
Greatest Common Factor of Numerators i.e. GCF of 2737,4612 is 1 .
LCM of Denominators means LCM of 85,342 as per the given fractions.
LCM of 85,342 is 29070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2737,4612
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2737
List of positive integer factors of 2737 that divides 2737 without a remainder.
1,7,17,23,119,161,391,2737
Factors of 4612
List of positive integer factors of 4612 that divides 4612 without a remainder.
1,2,4,1153,2306,4612
Greatest Common Factor
We found the factors 2737,4612 . The biggest common factor number is the GCF number.
So the greatest common factor 2737,4612 is 1.
Lets's calculate LCM of 85,342
Given numbers has no common factors except 1. So, there LCM is their product i.e 29070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29070
Therefore, the GCF of Fractions 2737/85,4612/342 is 1/29070
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 85,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,342) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,342) x common factors =1 x 1 = 1
LCM(85,342) = ( 85 × 342 ) / 1
LCM(85,342) = 29070 / 1
LCM(85,342) = 29070
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 2737/85, 4612/342?
Answer: GCF of Numerators as per given numbers 2737/85, 4612/342 is
GCF of Numerators i.e. for 2737,4612 is 1
LCM of denominators i.e. for 85,342 is 29070.
Thus, GCF of Fractions is 1/29070.Finally, GCF of Fractions for 2737/85, 4612/342 is 1/29070.