Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8418/582,7038/8603
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 8418,7038
Greatest Common Factor of Numerators i.e. GCF of 8418,7038 is 138 .
LCM of Denominators means LCM of 582,8603 as per the given fractions.
LCM of 582,8603 is 5006946 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8418,7038
2 | 8418, 7038 |
3 | 4209, 3519 |
23 | 1403, 1173 |
61, 51 |
∴ So the GCF of the given numbers is 2 x 3 x 23 = 138
Factors of 8418
List of positive integer factors of 8418 that divides 8418 without a remainder.
1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418
Factors of 7038
List of positive integer factors of 7038 that divides 7038 without a remainder.
1,2,3,6,9,17,18,23,34,46,51,69,102,138,153,207,306,391,414,782,1173,2346,3519,7038
Greatest Common Factor
We found the factors 8418,7038 . The biggest common factor number is the GCF number.
So the greatest common factor 8418,7038 is 138.
Lets's calculate LCM of 582,8603
Given numbers has no common factors except 1. So, there LCM is their product i.e 5006946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 138/5006946
Therefore, the GCF of Fractions 8418/582,7038/8603 is 138/5006946
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 582,8603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,8603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,8603) x common factors =1 x 1 = 1
LCM(582,8603) = ( 582 × 8603 ) / 1
LCM(582,8603) = 5006946 / 1
LCM(582,8603) = 5006946
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 8418/582, 7038/8603?
Answer: GCF of Numerators as per given numbers 8418/582, 7038/8603 is
GCF of Numerators i.e. for 8418,7038 is 138
LCM of denominators i.e. for 582,8603 is 5006946.
Thus, GCF of Fractions is 138/5006946.Finally, GCF of Fractions for 8418/582, 7038/8603 is 138/5006946.