Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8433/653,5974/1863
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 8433,5974
Greatest Common Factor of Numerators i.e. GCF of 8433,5974 is 1 .
LCM of Denominators means LCM of 653,1863 as per the given fractions.
LCM of 653,1863 is 1216539 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8433,5974
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8433
List of positive integer factors of 8433 that divides 8433 without a remainder.
1,3,9,937,2811,8433
Factors of 5974
List of positive integer factors of 5974 that divides 5974 without a remainder.
1,2,29,58,103,206,2987,5974
Greatest Common Factor
We found the factors 8433,5974 . The biggest common factor number is the GCF number.
So the greatest common factor 8433,5974 is 1.
Lets's calculate LCM of 653,1863
Given numbers has no common factors except 1. So, there LCM is their product i.e 1216539
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1216539
Therefore, the GCF of Fractions 8433/653,5974/1863 is 1/1216539
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 653,1863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,1863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,1863) x common factors =1 x 1 = 1
LCM(653,1863) = ( 653 × 1863 ) / 1
LCM(653,1863) = 1216539 / 1
LCM(653,1863) = 1216539
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 8433/653, 5974/1863?
Answer: GCF of Numerators as per given numbers 8433/653, 5974/1863 is
GCF of Numerators i.e. for 8433,5974 is 1
LCM of denominators i.e. for 653,1863 is 1216539.
Thus, GCF of Fractions is 1/1216539.Finally, GCF of Fractions for 8433/653, 5974/1863 is 1/1216539.