Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7544/90,1221/667
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 7544,1221
Greatest Common Factor of Numerators i.e. GCF of 7544,1221 is 1 .
LCM of Denominators means LCM of 90,667 as per the given fractions.
LCM of 90,667 is 60030 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7544,1221
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7544
List of positive integer factors of 7544 that divides 7544 without a remainder.
1,2,4,8,23,41,46,82,92,164,184,328,943,1886,3772,7544
Factors of 1221
List of positive integer factors of 1221 that divides 1221 without a remainder.
1,3,11,33,37,111,407,1221
Greatest Common Factor
We found the factors 7544,1221 . The biggest common factor number is the GCF number.
So the greatest common factor 7544,1221 is 1.
Lets's calculate LCM of 90,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 60030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60030
Therefore, the GCF of Fractions 7544/90,1221/667 is 1/60030
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 90,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,667) x common factors =1 x 1 = 1
LCM(90,667) = ( 90 × 667 ) / 1
LCM(90,667) = 60030 / 1
LCM(90,667) = 60030
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 7544/90, 1221/667?
Answer: GCF of Numerators as per given numbers 7544/90, 1221/667 is
GCF of Numerators i.e. for 7544,1221 is 1
LCM of denominators i.e. for 90,667 is 60030.
Thus, GCF of Fractions is 1/60030.Finally, GCF of Fractions for 7544/90, 1221/667 is 1/60030.