Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8707/305,8424/4140
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 8707,8424
Greatest Common Factor of Numerators i.e. GCF of 8707,8424 is 1 .
LCM of Denominators means LCM of 305,4140 as per the given fractions.
LCM of 305,4140 is 252540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8707,8424
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8707
List of positive integer factors of 8707 that divides 8707 without a remainder.
1,8707
Factors of 8424
List of positive integer factors of 8424 that divides 8424 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424
Greatest Common Factor
We found the factors 8707,8424 . The biggest common factor number is the GCF number.
So the greatest common factor 8707,8424 is 1.
Lets's calculate LCM of 305,4140
5 | 305, 4140 |
61, 828 |
∴ So the LCM of the given numbers is 5 x 61 x 828 = 252540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252540
Therefore, the GCF of Fractions 8707/305,8424/4140 is 1/252540
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 305,4140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,4140) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(305,4140) x common factors =5 x 1 = 5
LCM(305,4140) = ( 305 × 4140 ) / 5
LCM(305,4140) = 1262700 / 5
LCM(305,4140) = 252540
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 8707/305, 8424/4140?
Answer: GCF of Numerators as per given numbers 8707/305, 8424/4140 is
GCF of Numerators i.e. for 8707,8424 is 1
LCM of denominators i.e. for 305,4140 is 252540.
Thus, GCF of Fractions is 1/252540.Finally, GCF of Fractions for 8707/305, 8424/4140 is 1/252540.