Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 821/3497,166/4005
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 821,166
Greatest Common Factor of Numerators i.e. GCF of 821,166 is 1 .
LCM of Denominators means LCM of 3497,4005 as per the given fractions.
LCM of 3497,4005 is 14005485 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 821,166
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 821,166 . The biggest common factor number is the GCF number.
So the greatest common factor 821,166 is 1.
Lets's calculate LCM of 3497,4005
Given numbers has no common factors except 1. So, there LCM is their product i.e 14005485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14005485
Therefore, the GCF of Fractions 821/3497,166/4005 is 1/14005485
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 3497,4005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3497,4005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3497,4005) x common factors =1 x 1 = 1
LCM(3497,4005) = ( 3497 × 4005 ) / 1
LCM(3497,4005) = 14005485 / 1
LCM(3497,4005) = 14005485
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 821/3497, 166/4005?
Answer: GCF of Numerators as per given numbers 821/3497, 166/4005 is
GCF of Numerators i.e. for 821,166 is 1
LCM of denominators i.e. for 3497,4005 is 14005485.
Thus, GCF of Fractions is 1/14005485.Finally, GCF of Fractions for 821/3497, 166/4005 is 1/14005485.