Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 377/258,3498/861
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 377,3498
Greatest Common Factor of Numerators i.e. GCF of 377,3498 is 1 .
LCM of Denominators means LCM of 258,861 as per the given fractions.
LCM of 258,861 is 74046 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 377,3498
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Factors of 3498
List of positive integer factors of 3498 that divides 3498 without a remainder.
1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498
Greatest Common Factor
We found the factors 377,3498 . The biggest common factor number is the GCF number.
So the greatest common factor 377,3498 is 1.
Lets's calculate LCM of 258,861
3 | 258, 861 |
86, 287 |
∴ So the LCM of the given numbers is 3 x 86 x 287 = 74046
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74046
Therefore, the GCF of Fractions 377/258,3498/861 is 1/74046
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 258,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,861) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(258,861) x common factors =3 x 1 = 3
LCM(258,861) = ( 258 × 861 ) / 3
LCM(258,861) = 222138 / 3
LCM(258,861) = 74046
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 377/258, 3498/861?
Answer: GCF of Numerators as per given numbers 377/258, 3498/861 is
GCF of Numerators i.e. for 377,3498 is 1
LCM of denominators i.e. for 258,861 is 74046.
Thus, GCF of Fractions is 1/74046.Finally, GCF of Fractions for 377/258, 3498/861 is 1/74046.