Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 875/984,311/227,763/517
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 875,311,763
Greatest Common Factor of Numerators i.e. GCF of 875,311,763 is 1 .
LCM of Denominators means LCM of 984,227,517 as per the given fractions.
LCM of 984,227,517 is 115481256 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 875,311,763
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Greatest Common Factor
We found the factors 875,311,763 . The biggest common factor number is the GCF number.
So the greatest common factor 875,311,763 is 1.
Lets's calculate LCM of 984,227,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 115481256
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115481256
Therefore, the GCF of Fractions 875/984,311/227,763/517 is 1/115481256
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 984,227,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,227,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(984,227,517) x common factors =1 x 1 = 1
LCM(984,227,517) = ( 984 × 227 × 517 ) / 1
LCM(984,227,517) = 115481256 / 1
LCM(984,227,517) = 115481256
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 875/984, 311/227, 763/517?
Answer: GCF of Numerators as per given numbers 875/984, 311/227, 763/517 is
GCF of Numerators i.e. for 875,311,763 is 1
LCM of denominators i.e. for 984,227,517 is 115481256.
Thus, GCF of Fractions is 1/115481256.Finally, GCF of Fractions for 875/984, 311/227, 763/517 is 1/115481256.