Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 661/564,4295/403
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 661,4295
Greatest Common Factor of Numerators i.e. GCF of 661,4295 is 1 .
LCM of Denominators means LCM of 564,403 as per the given fractions.
LCM of 564,403 is 227292 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 661,4295
∴ 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 4295
List of positive integer factors of 4295 that divides 4295 without a remainder.
1,5,859,4295
Greatest Common Factor
We found the factors 661,4295 . The biggest common factor number is the GCF number.
So the greatest common factor 661,4295 is 1.
Lets's calculate LCM of 564,403
Given numbers has no common factors except 1. So, there LCM is their product i.e 227292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227292
Therefore, the GCF of Fractions 661/564,4295/403 is 1/227292
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 564,403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,403) x common factors =1 x 1 = 1
LCM(564,403) = ( 564 × 403 ) / 1
LCM(564,403) = 227292 / 1
LCM(564,403) = 227292
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 661/564, 4295/403?
Answer: GCF of Numerators as per given numbers 661/564, 4295/403 is
GCF of Numerators i.e. for 661,4295 is 1
LCM of denominators i.e. for 564,403 is 227292.
Thus, GCF of Fractions is 1/227292.Finally, GCF of Fractions for 661/564, 4295/403 is 1/227292.