Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2952/497,7981/7471
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 2952,7981
Greatest Common Factor of Numerators i.e. GCF of 2952,7981 is 1 .
LCM of Denominators means LCM of 497,7471 as per the given fractions.
LCM of 497,7471 is 3713087 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2952,7981
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2952
List of positive integer factors of 2952 that divides 2952 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,41,72,82,123,164,246,328,369,492,738,984,1476,2952
Factors of 7981
List of positive integer factors of 7981 that divides 7981 without a remainder.
1,23,347,7981
Greatest Common Factor
We found the factors 2952,7981 . The biggest common factor number is the GCF number.
So the greatest common factor 2952,7981 is 1.
Lets's calculate LCM of 497,7471
Given numbers has no common factors except 1. So, there LCM is their product i.e 3713087
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3713087
Therefore, the GCF of Fractions 2952/497,7981/7471 is 1/3713087
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 497,7471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,7471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,7471) x common factors =1 x 1 = 1
LCM(497,7471) = ( 497 × 7471 ) / 1
LCM(497,7471) = 3713087 / 1
LCM(497,7471) = 3713087
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 2952/497, 7981/7471?
Answer: GCF of Numerators as per given numbers 2952/497, 7981/7471 is
GCF of Numerators i.e. for 2952,7981 is 1
LCM of denominators i.e. for 497,7471 is 3713087.
Thus, GCF of Fractions is 1/3713087.Finally, GCF of Fractions for 2952/497, 7981/7471 is 1/3713087.