Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 661/575,4132/3774
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 661,4132
Greatest Common Factor of Numerators i.e. GCF of 661,4132 is 1 .
LCM of Denominators means LCM of 575,3774 as per the given fractions.
LCM of 575,3774 is 2170050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 661,4132
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Factors of 4132
List of positive integer factors of 4132 that divides 4132 without a remainder.
1,2,4,1033,2066,4132
Greatest Common Factor
We found the factors 661,4132 . The biggest common factor number is the GCF number.
So the greatest common factor 661,4132 is 1.
Lets's calculate LCM of 575,3774
Given numbers has no common factors except 1. So, there LCM is their product i.e 2170050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2170050
Therefore, the GCF of Fractions 661/575,4132/3774 is 1/2170050
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 575,3774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,3774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,3774) x common factors =1 x 1 = 1
LCM(575,3774) = ( 575 × 3774 ) / 1
LCM(575,3774) = 2170050 / 1
LCM(575,3774) = 2170050
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 661/575, 4132/3774?
Answer: GCF of Numerators as per given numbers 661/575, 4132/3774 is
GCF of Numerators i.e. for 661,4132 is 1
LCM of denominators i.e. for 575,3774 is 2170050.
Thus, GCF of Fractions is 1/2170050.Finally, GCF of Fractions for 661/575, 4132/3774 is 1/2170050.