Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7038/228,8855/9300
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 7038,8855
Greatest Common Factor of Numerators i.e. GCF of 7038,8855 is 23 .
LCM of Denominators means LCM of 228,9300 as per the given fractions.
LCM of 228,9300 is 176700 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7038,8855
23 | 7038, 8855 |
306, 385 |
∴ So the GCF of the given numbers is 23 = 23
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
Factors of 8855
List of positive integer factors of 8855 that divides 8855 without a remainder.
1,5,7,11,23,35,55,77,115,161,253,385,805,1265,1771,8855
Greatest Common Factor
We found the factors 7038,8855 . The biggest common factor number is the GCF number.
So the greatest common factor 7038,8855 is 23.
Lets's calculate LCM of 228,9300
2 | 228, 9300 |
2 | 114, 4650 |
3 | 57, 2325 |
19, 775 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 775 = 176700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/176700
Therefore, the GCF of Fractions 7038/228,8855/9300 is 23/176700
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 228,9300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,9300) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(228,9300) x common factors =12 x 1 = 12
LCM(228,9300) = ( 228 × 9300 ) / 12
LCM(228,9300) = 2120400 / 12
LCM(228,9300) = 176700
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 7038/228, 8855/9300?
Answer: GCF of Numerators as per given numbers 7038/228, 8855/9300 is
GCF of Numerators i.e. for 7038,8855 is 23
LCM of denominators i.e. for 228,9300 is 176700.
Thus, GCF of Fractions is 23/176700.Finally, GCF of Fractions for 7038/228, 8855/9300 is 23/176700.