Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1034/711,5585/249
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 1034,5585
Greatest Common Factor of Numerators i.e. GCF of 1034,5585 is 1 .
LCM of Denominators means LCM of 711,249 as per the given fractions.
LCM of 711,249 is 59013 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1034,5585
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1034
List of positive integer factors of 1034 that divides 1034 without a remainder.
1,2,11,22,47,94,517,1034
Factors of 5585
List of positive integer factors of 5585 that divides 5585 without a remainder.
1,5,1117,5585
Greatest Common Factor
We found the factors 1034,5585 . The biggest common factor number is the GCF number.
So the greatest common factor 1034,5585 is 1.
Lets's calculate LCM of 711,249
3 | 711, 249 |
237, 83 |
∴ So the LCM of the given numbers is 3 x 237 x 83 = 59013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59013
Therefore, the GCF of Fractions 1034/711,5585/249 is 1/59013
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 711,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,249) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(711,249) x common factors =3 x 1 = 3
LCM(711,249) = ( 711 × 249 ) / 3
LCM(711,249) = 177039 / 3
LCM(711,249) = 59013
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 1034/711, 5585/249?
Answer: GCF of Numerators as per given numbers 1034/711, 5585/249 is
GCF of Numerators i.e. for 1034,5585 is 1
LCM of denominators i.e. for 711,249 is 59013.
Thus, GCF of Fractions is 1/59013.Finally, GCF of Fractions for 1034/711, 5585/249 is 1/59013.