Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9052/511,7232/218
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 9052,7232
Greatest Common Factor of Numerators i.e. GCF of 9052,7232 is 4 .
LCM of Denominators means LCM of 511,218 as per the given fractions.
LCM of 511,218 is 111398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9052,7232
2 | 9052, 7232 |
2 | 4526, 3616 |
2263, 1808 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9052
List of positive integer factors of 9052 that divides 9052 without a remainder.
1,2,4,31,62,73,124,146,292,2263,4526,9052
Factors of 7232
List of positive integer factors of 7232 that divides 7232 without a remainder.
1,2,4,8,16,32,64,113,226,452,904,1808,3616,7232
Greatest Common Factor
We found the factors 9052,7232 . The biggest common factor number is the GCF number.
So the greatest common factor 9052,7232 is 4.
Lets's calculate LCM of 511,218
Given numbers has no common factors except 1. So, there LCM is their product i.e 111398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/111398
Therefore, the GCF of Fractions 9052/511,7232/218 is 4/111398
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 511,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,218) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,218) x common factors =1 x 1 = 1
LCM(511,218) = ( 511 × 218 ) / 1
LCM(511,218) = 111398 / 1
LCM(511,218) = 111398
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 9052/511, 7232/218?
Answer: GCF of Numerators as per given numbers 9052/511, 7232/218 is
GCF of Numerators i.e. for 9052,7232 is 4
LCM of denominators i.e. for 511,218 is 111398.
Thus, GCF of Fractions is 4/111398.Finally, GCF of Fractions for 9052/511, 7232/218 is 4/111398.