Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5863/746,8232/2670
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 5863,8232
Greatest Common Factor of Numerators i.e. GCF of 5863,8232 is 1 .
LCM of Denominators means LCM of 746,2670 as per the given fractions.
LCM of 746,2670 is 995910 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5863,8232
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5863
List of positive integer factors of 5863 that divides 5863 without a remainder.
1,11,13,41,143,451,533,5863
Factors of 8232
List of positive integer factors of 8232 that divides 8232 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232
Greatest Common Factor
We found the factors 5863,8232 . The biggest common factor number is the GCF number.
So the greatest common factor 5863,8232 is 1.
Lets's calculate LCM of 746,2670
2 | 746, 2670 |
373, 1335 |
∴ So the LCM of the given numbers is 2 x 373 x 1335 = 995910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/995910
Therefore, the GCF of Fractions 5863/746,8232/2670 is 1/995910
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 746,2670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,2670) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,2670) x common factors =2 x 1 = 2
LCM(746,2670) = ( 746 × 2670 ) / 2
LCM(746,2670) = 1991820 / 2
LCM(746,2670) = 995910
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 5863/746, 8232/2670?
Answer: GCF of Numerators as per given numbers 5863/746, 8232/2670 is
GCF of Numerators i.e. for 5863,8232 is 1
LCM of denominators i.e. for 746,2670 is 995910.
Thus, GCF of Fractions is 1/995910.Finally, GCF of Fractions for 5863/746, 8232/2670 is 1/995910.