Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5955/488,5776/705
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 5955,5776
Greatest Common Factor of Numerators i.e. GCF of 5955,5776 is 1 .
LCM of Denominators means LCM of 488,705 as per the given fractions.
LCM of 488,705 is 344040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5955,5776
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5955
List of positive integer factors of 5955 that divides 5955 without a remainder.
1,3,5,15,397,1191,1985,5955
Factors of 5776
List of positive integer factors of 5776 that divides 5776 without a remainder.
1,2,4,8,16,19,38,76,152,304,361,722,1444,2888,5776
Greatest Common Factor
We found the factors 5955,5776 . The biggest common factor number is the GCF number.
So the greatest common factor 5955,5776 is 1.
Lets's calculate LCM of 488,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 344040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344040
Therefore, the GCF of Fractions 5955/488,5776/705 is 1/344040
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 488,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(488,705) x common factors =1 x 1 = 1
LCM(488,705) = ( 488 × 705 ) / 1
LCM(488,705) = 344040 / 1
LCM(488,705) = 344040
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 5955/488, 5776/705?
Answer: GCF of Numerators as per given numbers 5955/488, 5776/705 is
GCF of Numerators i.e. for 5955,5776 is 1
LCM of denominators i.e. for 488,705 is 344040.
Thus, GCF of Fractions is 1/344040.Finally, GCF of Fractions for 5955/488, 5776/705 is 1/344040.