Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/38,86/23,820/971
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 99,86,820
Greatest Common Factor of Numerators i.e. GCF of 99,86,820 is 1 .
LCM of Denominators means LCM of 38,23,971 as per the given fractions.
LCM of 38,23,971 is 848654 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 99,86,820
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 820
List of positive integer factors of 820 that divides 820 without a remainder.
1,2,4,5,10,20,41,82,164,205,410,820
Greatest Common Factor
We found the factors 99,86,820 . The biggest common factor number is the GCF number.
So the greatest common factor 99,86,820 is 1.
Lets's calculate LCM of 38,23,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 848654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/848654
Therefore, the GCF of Fractions 99/38,86/23,820/971 is 1/848654
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 38,23,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,23,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,23,971) x common factors =1 x 1 = 1
LCM(38,23,971) = ( 38 × 23 × 971 ) / 1
LCM(38,23,971) = 848654 / 1
LCM(38,23,971) = 848654
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 99/38, 86/23, 820/971?
Answer: GCF of Numerators as per given numbers 99/38, 86/23, 820/971 is
GCF of Numerators i.e. for 99,86,820 is 1
LCM of denominators i.e. for 38,23,971 is 848654.
Thus, GCF of Fractions is 1/848654.Finally, GCF of Fractions for 99/38, 86/23, 820/971 is 1/848654.