Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4531/656,9611/485
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 4531,9611
Greatest Common Factor of Numerators i.e. GCF of 4531,9611 is 1 .
LCM of Denominators means LCM of 656,485 as per the given fractions.
LCM of 656,485 is 318160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4531,9611
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4531
List of positive integer factors of 4531 that divides 4531 without a remainder.
1,23,197,4531
Factors of 9611
List of positive integer factors of 9611 that divides 9611 without a remainder.
1,7,1373,9611
Greatest Common Factor
We found the factors 4531,9611 . The biggest common factor number is the GCF number.
So the greatest common factor 4531,9611 is 1.
Lets's calculate LCM of 656,485
Given numbers has no common factors except 1. So, there LCM is their product i.e 318160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318160
Therefore, the GCF of Fractions 4531/656,9611/485 is 1/318160
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 656,485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,485) x common factors =1 x 1 = 1
LCM(656,485) = ( 656 × 485 ) / 1
LCM(656,485) = 318160 / 1
LCM(656,485) = 318160
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 4531/656, 9611/485?
Answer: GCF of Numerators as per given numbers 4531/656, 9611/485 is
GCF of Numerators i.e. for 4531,9611 is 1
LCM of denominators i.e. for 656,485 is 318160.
Thus, GCF of Fractions is 1/318160.Finally, GCF of Fractions for 4531/656, 9611/485 is 1/318160.