Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 202/561,4739/163
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 202,4739
Greatest Common Factor of Numerators i.e. GCF of 202,4739 is 1 .
LCM of Denominators means LCM of 561,163 as per the given fractions.
LCM of 561,163 is 91443 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 202,4739
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 4739
List of positive integer factors of 4739 that divides 4739 without a remainder.
1,7,677,4739
Greatest Common Factor
We found the factors 202,4739 . The biggest common factor number is the GCF number.
So the greatest common factor 202,4739 is 1.
Lets's calculate LCM of 561,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 91443
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91443
Therefore, the GCF of Fractions 202/561,4739/163 is 1/91443
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 561,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,163) x common factors =1 x 1 = 1
LCM(561,163) = ( 561 × 163 ) / 1
LCM(561,163) = 91443 / 1
LCM(561,163) = 91443
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 202/561, 4739/163?
Answer: GCF of Numerators as per given numbers 202/561, 4739/163 is
GCF of Numerators i.e. for 202,4739 is 1
LCM of denominators i.e. for 561,163 is 91443.
Thus, GCF of Fractions is 1/91443.Finally, GCF of Fractions for 202/561, 4739/163 is 1/91443.