Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8755/475,7656/568
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 8755,7656
Greatest Common Factor of Numerators i.e. GCF of 8755,7656 is 1 .
LCM of Denominators means LCM of 475,568 as per the given fractions.
LCM of 475,568 is 269800 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8755,7656
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8755
List of positive integer factors of 8755 that divides 8755 without a remainder.
1,5,17,85,103,515,1751,8755
Factors of 7656
List of positive integer factors of 7656 that divides 7656 without a remainder.
1,2,3,4,6,8,11,12,22,24,29,33,44,58,66,87,88,116,132,174,232,264,319,348,638,696,957,1276,1914,2552,3828,7656
Greatest Common Factor
We found the factors 8755,7656 . The biggest common factor number is the GCF number.
So the greatest common factor 8755,7656 is 1.
Lets's calculate LCM of 475,568
Given numbers has no common factors except 1. So, there LCM is their product i.e 269800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269800
Therefore, the GCF of Fractions 8755/475,7656/568 is 1/269800
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 475,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,568) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,568) x common factors =1 x 1 = 1
LCM(475,568) = ( 475 × 568 ) / 1
LCM(475,568) = 269800 / 1
LCM(475,568) = 269800
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 8755/475, 7656/568?
Answer: GCF of Numerators as per given numbers 8755/475, 7656/568 is
GCF of Numerators i.e. for 8755,7656 is 1
LCM of denominators i.e. for 475,568 is 269800.
Thus, GCF of Fractions is 1/269800.Finally, GCF of Fractions for 8755/475, 7656/568 is 1/269800.