Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3491/623,4997/925
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 3491,4997
Greatest Common Factor of Numerators i.e. GCF of 3491,4997 is 1 .
LCM of Denominators means LCM of 623,925 as per the given fractions.
LCM of 623,925 is 576275 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3491,4997
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3491
List of positive integer factors of 3491 that divides 3491 without a remainder.
1,3491
Factors of 4997
List of positive integer factors of 4997 that divides 4997 without a remainder.
1,19,263,4997
Greatest Common Factor
We found the factors 3491,4997 . The biggest common factor number is the GCF number.
So the greatest common factor 3491,4997 is 1.
Lets's calculate LCM of 623,925
Given numbers has no common factors except 1. So, there LCM is their product i.e 576275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/576275
Therefore, the GCF of Fractions 3491/623,4997/925 is 1/576275
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 623,925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,925) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,925) x common factors =1 x 1 = 1
LCM(623,925) = ( 623 × 925 ) / 1
LCM(623,925) = 576275 / 1
LCM(623,925) = 576275
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 3491/623, 4997/925?
Answer: GCF of Numerators as per given numbers 3491/623, 4997/925 is
GCF of Numerators i.e. for 3491,4997 is 1
LCM of denominators i.e. for 623,925 is 576275.
Thus, GCF of Fractions is 1/576275.Finally, GCF of Fractions for 3491/623, 4997/925 is 1/576275.