Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4091/761,2160/830
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 4091,2160
Greatest Common Factor of Numerators i.e. GCF of 4091,2160 is 1 .
LCM of Denominators means LCM of 761,830 as per the given fractions.
LCM of 761,830 is 631630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4091,2160
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4091
List of positive integer factors of 4091 that divides 4091 without a remainder.
1,4091
Factors of 2160
List of positive integer factors of 2160 that divides 2160 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160
Greatest Common Factor
We found the factors 4091,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 4091,2160 is 1.
Lets's calculate LCM of 761,830
Given numbers has no common factors except 1. So, there LCM is their product i.e 631630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/631630
Therefore, the GCF of Fractions 4091/761,2160/830 is 1/631630
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 761,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(761,830) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(761,830) x common factors =1 x 1 = 1
LCM(761,830) = ( 761 × 830 ) / 1
LCM(761,830) = 631630 / 1
LCM(761,830) = 631630
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 4091/761, 2160/830?
Answer: GCF of Numerators as per given numbers 4091/761, 2160/830 is
GCF of Numerators i.e. for 4091,2160 is 1
LCM of denominators i.e. for 761,830 is 631630.
Thus, GCF of Fractions is 1/631630.Finally, GCF of Fractions for 4091/761, 2160/830 is 1/631630.