Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 113/630,5317/4180
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 113,5317
Greatest Common Factor of Numerators i.e. GCF of 113,5317 is 1 .
LCM of Denominators means LCM of 630,4180 as per the given fractions.
LCM of 630,4180 is 263340 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 113,5317
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 113
List of positive integer factors of 113 that divides 113 without a remainder.
1,113
Factors of 5317
List of positive integer factors of 5317 that divides 5317 without a remainder.
1,13,409,5317
Greatest Common Factor
We found the factors 113,5317 . The biggest common factor number is the GCF number.
So the greatest common factor 113,5317 is 1.
Lets's calculate LCM of 630,4180
2 | 630, 4180 |
5 | 315, 2090 |
63, 418 |
∴ So the LCM of the given numbers is 2 x 5 x 63 x 418 = 263340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263340
Therefore, the GCF of Fractions 113/630,5317/4180 is 1/263340
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 630,4180 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(630,4180) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(630,4180) x common factors =10 x 1 = 10
LCM(630,4180) = ( 630 × 4180 ) / 10
LCM(630,4180) = 2633400 / 10
LCM(630,4180) = 263340
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 113/630, 5317/4180?
Answer: GCF of Numerators as per given numbers 113/630, 5317/4180 is
GCF of Numerators i.e. for 113,5317 is 1
LCM of denominators i.e. for 630,4180 is 263340.
Thus, GCF of Fractions is 1/263340.Finally, GCF of Fractions for 113/630, 5317/4180 is 1/263340.