Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4127/494,7001/743
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 4127,7001
Greatest Common Factor of Numerators i.e. GCF of 4127,7001 is 1 .
LCM of Denominators means LCM of 494,743 as per the given fractions.
LCM of 494,743 is 367042 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4127,7001
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4127
List of positive integer factors of 4127 that divides 4127 without a remainder.
1,4127
Factors of 7001
List of positive integer factors of 7001 that divides 7001 without a remainder.
1,7001
Greatest Common Factor
We found the factors 4127,7001 . The biggest common factor number is the GCF number.
So the greatest common factor 4127,7001 is 1.
Lets's calculate LCM of 494,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 367042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367042
Therefore, the GCF of Fractions 4127/494,7001/743 is 1/367042
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 494,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(494,743) x common factors =1 x 1 = 1
LCM(494,743) = ( 494 × 743 ) / 1
LCM(494,743) = 367042 / 1
LCM(494,743) = 367042
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 4127/494, 7001/743?
Answer: GCF of Numerators as per given numbers 4127/494, 7001/743 is
GCF of Numerators i.e. for 4127,7001 is 1
LCM of denominators i.e. for 494,743 is 367042.
Thus, GCF of Fractions is 1/367042.Finally, GCF of Fractions for 4127/494, 7001/743 is 1/367042.