Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 358/394,2177/2684
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 358,2177
Greatest Common Factor of Numerators i.e. GCF of 358,2177 is 1 .
LCM of Denominators means LCM of 394,2684 as per the given fractions.
LCM of 394,2684 is 528748 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 358,2177
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 2177
List of positive integer factors of 2177 that divides 2177 without a remainder.
1,7,311,2177
Greatest Common Factor
We found the factors 358,2177 . The biggest common factor number is the GCF number.
So the greatest common factor 358,2177 is 1.
Lets's calculate LCM of 394,2684
2 | 394, 2684 |
197, 1342 |
∴ So the LCM of the given numbers is 2 x 197 x 1342 = 528748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/528748
Therefore, the GCF of Fractions 358/394,2177/2684 is 1/528748
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 394,2684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,2684) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,2684) x common factors =2 x 1 = 2
LCM(394,2684) = ( 394 × 2684 ) / 2
LCM(394,2684) = 1057496 / 2
LCM(394,2684) = 528748
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 358/394, 2177/2684?
Answer: GCF of Numerators as per given numbers 358/394, 2177/2684 is
GCF of Numerators i.e. for 358,2177 is 1
LCM of denominators i.e. for 394,2684 is 528748.
Thus, GCF of Fractions is 1/528748.Finally, GCF of Fractions for 358/394, 2177/2684 is 1/528748.