Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4975/65,8282/323
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 4975,8282
Greatest Common Factor of Numerators i.e. GCF of 4975,8282 is 1 .
LCM of Denominators means LCM of 65,323 as per the given fractions.
LCM of 65,323 is 20995 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4975,8282
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4975
List of positive integer factors of 4975 that divides 4975 without a remainder.
1,5,25,199,995,4975
Factors of 8282
List of positive integer factors of 8282 that divides 8282 without a remainder.
1,2,41,82,101,202,4141,8282
Greatest Common Factor
We found the factors 4975,8282 . The biggest common factor number is the GCF number.
So the greatest common factor 4975,8282 is 1.
Lets's calculate LCM of 65,323
Given numbers has no common factors except 1. So, there LCM is their product i.e 20995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20995
Therefore, the GCF of Fractions 4975/65,8282/323 is 1/20995
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 65,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,323) x common factors =1 x 1 = 1
LCM(65,323) = ( 65 × 323 ) / 1
LCM(65,323) = 20995 / 1
LCM(65,323) = 20995
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 4975/65, 8282/323?
Answer: GCF of Numerators as per given numbers 4975/65, 8282/323 is
GCF of Numerators i.e. for 4975,8282 is 1
LCM of denominators i.e. for 65,323 is 20995.
Thus, GCF of Fractions is 1/20995.Finally, GCF of Fractions for 4975/65, 8282/323 is 1/20995.