Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7057/673,1918/4482
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 7057,1918
Greatest Common Factor of Numerators i.e. GCF of 7057,1918 is 1 .
LCM of Denominators means LCM of 673,4482 as per the given fractions.
LCM of 673,4482 is 3016386 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7057,1918
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7057
List of positive integer factors of 7057 that divides 7057 without a remainder.
1,7057
Factors of 1918
List of positive integer factors of 1918 that divides 1918 without a remainder.
1,2,7,14,137,274,959,1918
Greatest Common Factor
We found the factors 7057,1918 . The biggest common factor number is the GCF number.
So the greatest common factor 7057,1918 is 1.
Lets's calculate LCM of 673,4482
Given numbers has no common factors except 1. So, there LCM is their product i.e 3016386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3016386
Therefore, the GCF of Fractions 7057/673,1918/4482 is 1/3016386
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 673,4482 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,4482) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,4482) x common factors =1 x 1 = 1
LCM(673,4482) = ( 673 × 4482 ) / 1
LCM(673,4482) = 3016386 / 1
LCM(673,4482) = 3016386
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 7057/673, 1918/4482?
Answer: GCF of Numerators as per given numbers 7057/673, 1918/4482 is
GCF of Numerators i.e. for 7057,1918 is 1
LCM of denominators i.e. for 673,4482 is 3016386.
Thus, GCF of Fractions is 1/3016386.Finally, GCF of Fractions for 7057/673, 1918/4482 is 1/3016386.