Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8056/176,2663/7561
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 8056,2663
Greatest Common Factor of Numerators i.e. GCF of 8056,2663 is 1 .
LCM of Denominators means LCM of 176,7561 as per the given fractions.
LCM of 176,7561 is 1330736 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8056,2663
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8056
List of positive integer factors of 8056 that divides 8056 without a remainder.
1,2,4,8,19,38,53,76,106,152,212,424,1007,2014,4028,8056
Factors of 2663
List of positive integer factors of 2663 that divides 2663 without a remainder.
1,2663
Greatest Common Factor
We found the factors 8056,2663 . The biggest common factor number is the GCF number.
So the greatest common factor 8056,2663 is 1.
Lets's calculate LCM of 176,7561
Given numbers has no common factors except 1. So, there LCM is their product i.e 1330736
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1330736
Therefore, the GCF of Fractions 8056/176,2663/7561 is 1/1330736
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 176,7561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,7561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,7561) x common factors =1 x 1 = 1
LCM(176,7561) = ( 176 × 7561 ) / 1
LCM(176,7561) = 1330736 / 1
LCM(176,7561) = 1330736
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 8056/176, 2663/7561?
Answer: GCF of Numerators as per given numbers 8056/176, 2663/7561 is
GCF of Numerators i.e. for 8056,2663 is 1
LCM of denominators i.e. for 176,7561 is 1330736.
Thus, GCF of Fractions is 1/1330736.Finally, GCF of Fractions for 8056/176, 2663/7561 is 1/1330736.