Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4054/566,1371/3674
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 4054,1371
Greatest Common Factor of Numerators i.e. GCF of 4054,1371 is 1 .
LCM of Denominators means LCM of 566,3674 as per the given fractions.
LCM of 566,3674 is 1039742 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4054,1371
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4054
List of positive integer factors of 4054 that divides 4054 without a remainder.
1,2,2027,4054
Factors of 1371
List of positive integer factors of 1371 that divides 1371 without a remainder.
1,3,457,1371
Greatest Common Factor
We found the factors 4054,1371 . The biggest common factor number is the GCF number.
So the greatest common factor 4054,1371 is 1.
Lets's calculate LCM of 566,3674
2 | 566, 3674 |
283, 1837 |
∴ So the LCM of the given numbers is 2 x 283 x 1837 = 1039742
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1039742
Therefore, the GCF of Fractions 4054/566,1371/3674 is 1/1039742
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 566,3674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,3674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(566,3674) x common factors =2 x 1 = 2
LCM(566,3674) = ( 566 × 3674 ) / 2
LCM(566,3674) = 2079484 / 2
LCM(566,3674) = 1039742
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 4054/566, 1371/3674?
Answer: GCF of Numerators as per given numbers 4054/566, 1371/3674 is
GCF of Numerators i.e. for 4054,1371 is 1
LCM of denominators i.e. for 566,3674 is 1039742.
Thus, GCF of Fractions is 1/1039742.Finally, GCF of Fractions for 4054/566, 1371/3674 is 1/1039742.