Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6349/121,4544/7771
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 6349,4544
Greatest Common Factor of Numerators i.e. GCF of 6349,4544 is 1 .
LCM of Denominators means LCM of 121,7771 as per the given fractions.
LCM of 121,7771 is 940291 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6349,4544
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6349
List of positive integer factors of 6349 that divides 6349 without a remainder.
1,7,907,6349
Factors of 4544
List of positive integer factors of 4544 that divides 4544 without a remainder.
1,2,4,8,16,32,64,71,142,284,568,1136,2272,4544
Greatest Common Factor
We found the factors 6349,4544 . The biggest common factor number is the GCF number.
So the greatest common factor 6349,4544 is 1.
Lets's calculate LCM of 121,7771
Given numbers has no common factors except 1. So, there LCM is their product i.e 940291
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/940291
Therefore, the GCF of Fractions 6349/121,4544/7771 is 1/940291
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 121,7771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,7771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,7771) x common factors =1 x 1 = 1
LCM(121,7771) = ( 121 × 7771 ) / 1
LCM(121,7771) = 940291 / 1
LCM(121,7771) = 940291
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 6349/121, 4544/7771?
Answer: GCF of Numerators as per given numbers 6349/121, 4544/7771 is
GCF of Numerators i.e. for 6349,4544 is 1
LCM of denominators i.e. for 121,7771 is 940291.
Thus, GCF of Fractions is 1/940291.Finally, GCF of Fractions for 6349/121, 4544/7771 is 1/940291.