Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4649/271,5800/126
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 4649,5800
Greatest Common Factor of Numerators i.e. GCF of 4649,5800 is 1 .
LCM of Denominators means LCM of 271,126 as per the given fractions.
LCM of 271,126 is 34146 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4649,5800
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4649
List of positive integer factors of 4649 that divides 4649 without a remainder.
1,4649
Factors of 5800
List of positive integer factors of 5800 that divides 5800 without a remainder.
1,2,4,5,8,10,20,25,29,40,50,58,100,116,145,200,232,290,580,725,1160,1450,2900,5800
Greatest Common Factor
We found the factors 4649,5800 . The biggest common factor number is the GCF number.
So the greatest common factor 4649,5800 is 1.
Lets's calculate LCM of 271,126
Given numbers has no common factors except 1. So, there LCM is their product i.e 34146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34146
Therefore, the GCF of Fractions 4649/271,5800/126 is 1/34146
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 271,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,126) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,126) x common factors =1 x 1 = 1
LCM(271,126) = ( 271 × 126 ) / 1
LCM(271,126) = 34146 / 1
LCM(271,126) = 34146
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 4649/271, 5800/126?
Answer: GCF of Numerators as per given numbers 4649/271, 5800/126 is
GCF of Numerators i.e. for 4649,5800 is 1
LCM of denominators i.e. for 271,126 is 34146.
Thus, GCF of Fractions is 1/34146.Finally, GCF of Fractions for 4649/271, 5800/126 is 1/34146.