Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 908/859,726/442,571/645
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 908,726,571
Greatest Common Factor of Numerators i.e. GCF of 908,726,571 is 1 .
LCM of Denominators means LCM of 859,442,645 as per the given fractions.
LCM of 859,442,645 is 244892310 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 908,726,571
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 571
List of positive integer factors of 571 that divides 571 without a remainder.
1,571
Greatest Common Factor
We found the factors 908,726,571 . The biggest common factor number is the GCF number.
So the greatest common factor 908,726,571 is 1.
Lets's calculate LCM of 859,442,645
Given numbers has no common factors except 1. So, there LCM is their product i.e 244892310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/244892310
Therefore, the GCF of Fractions 908/859,726/442,571/645 is 1/244892310
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 859,442,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,442,645) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,442,645) x common factors =1 x 1 = 1
LCM(859,442,645) = ( 859 × 442 × 645 ) / 1
LCM(859,442,645) = 244892310 / 1
LCM(859,442,645) = 244892310
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 908/859, 726/442, 571/645?
Answer: GCF of Numerators as per given numbers 908/859, 726/442, 571/645 is
GCF of Numerators i.e. for 908,726,571 is 1
LCM of denominators i.e. for 859,442,645 is 244892310.
Thus, GCF of Fractions is 1/244892310.Finally, GCF of Fractions for 908/859, 726/442, 571/645 is 1/244892310.