Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3358/681,8277/6490
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 3358,8277
Greatest Common Factor of Numerators i.e. GCF of 3358,8277 is 1 .
LCM of Denominators means LCM of 681,6490 as per the given fractions.
LCM of 681,6490 is 4419690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3358,8277
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3358
List of positive integer factors of 3358 that divides 3358 without a remainder.
1,2,23,46,73,146,1679,3358
Factors of 8277
List of positive integer factors of 8277 that divides 8277 without a remainder.
1,3,31,89,93,267,2759,8277
Greatest Common Factor
We found the factors 3358,8277 . The biggest common factor number is the GCF number.
So the greatest common factor 3358,8277 is 1.
Lets's calculate LCM of 681,6490
Given numbers has no common factors except 1. So, there LCM is their product i.e 4419690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4419690
Therefore, the GCF of Fractions 3358/681,8277/6490 is 1/4419690
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 681,6490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,6490) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,6490) x common factors =1 x 1 = 1
LCM(681,6490) = ( 681 × 6490 ) / 1
LCM(681,6490) = 4419690 / 1
LCM(681,6490) = 4419690
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 3358/681, 8277/6490?
Answer: GCF of Numerators as per given numbers 3358/681, 8277/6490 is
GCF of Numerators i.e. for 3358,8277 is 1
LCM of denominators i.e. for 681,6490 is 4419690.
Thus, GCF of Fractions is 1/4419690.Finally, GCF of Fractions for 3358/681, 8277/6490 is 1/4419690.