Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5088/871,3082/971
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 5088,3082
Greatest Common Factor of Numerators i.e. GCF of 5088,3082 is 2 .
LCM of Denominators means LCM of 871,971 as per the given fractions.
LCM of 871,971 is 845741 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5088,3082
2 | 5088, 3082 |
2544, 1541 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5088
List of positive integer factors of 5088 that divides 5088 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,53,96,106,159,212,318,424,636,848,1272,1696,2544,5088
Factors of 3082
List of positive integer factors of 3082 that divides 3082 without a remainder.
1,2,23,46,67,134,1541,3082
Greatest Common Factor
We found the factors 5088,3082 . The biggest common factor number is the GCF number.
So the greatest common factor 5088,3082 is 2.
Lets's calculate LCM of 871,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 845741
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/845741
Therefore, the GCF of Fractions 5088/871,3082/971 is 2/845741
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 871,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,971) x common factors =1 x 1 = 1
LCM(871,971) = ( 871 × 971 ) / 1
LCM(871,971) = 845741 / 1
LCM(871,971) = 845741
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 5088/871, 3082/971?
Answer: GCF of Numerators as per given numbers 5088/871, 3082/971 is
GCF of Numerators i.e. for 5088,3082 is 2
LCM of denominators i.e. for 871,971 is 845741.
Thus, GCF of Fractions is 2/845741.Finally, GCF of Fractions for 5088/871, 3082/971 is 2/845741.