Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8041/711,5619/210
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 8041,5619
Greatest Common Factor of Numerators i.e. GCF of 8041,5619 is 1 .
LCM of Denominators means LCM of 711,210 as per the given fractions.
LCM of 711,210 is 49770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8041,5619
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8041
List of positive integer factors of 8041 that divides 8041 without a remainder.
1,11,17,43,187,473,731,8041
Factors of 5619
List of positive integer factors of 5619 that divides 5619 without a remainder.
1,3,1873,5619
Greatest Common Factor
We found the factors 8041,5619 . The biggest common factor number is the GCF number.
So the greatest common factor 8041,5619 is 1.
Lets's calculate LCM of 711,210
3 | 711, 210 |
237, 70 |
∴ So the LCM of the given numbers is 3 x 237 x 70 = 49770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49770
Therefore, the GCF of Fractions 8041/711,5619/210 is 1/49770
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 711,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,210) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(711,210) x common factors =3 x 1 = 3
LCM(711,210) = ( 711 × 210 ) / 3
LCM(711,210) = 149310 / 3
LCM(711,210) = 49770
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 8041/711, 5619/210?
Answer: GCF of Numerators as per given numbers 8041/711, 5619/210 is
GCF of Numerators i.e. for 8041,5619 is 1
LCM of denominators i.e. for 711,210 is 49770.
Thus, GCF of Fractions is 1/49770.Finally, GCF of Fractions for 8041/711, 5619/210 is 1/49770.