Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7511/21,4044/265
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 7511,4044
Greatest Common Factor of Numerators i.e. GCF of 7511,4044 is 1 .
LCM of Denominators means LCM of 21,265 as per the given fractions.
LCM of 21,265 is 5565 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7511,4044
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7511
List of positive integer factors of 7511 that divides 7511 without a remainder.
1,7,29,37,203,259,1073,7511
Factors of 4044
List of positive integer factors of 4044 that divides 4044 without a remainder.
1,2,3,4,6,12,337,674,1011,1348,2022,4044
Greatest Common Factor
We found the factors 7511,4044 . The biggest common factor number is the GCF number.
So the greatest common factor 7511,4044 is 1.
Lets's calculate LCM of 21,265
Given numbers has no common factors except 1. So, there LCM is their product i.e 5565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5565
Therefore, the GCF of Fractions 7511/21,4044/265 is 1/5565
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 21,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,265) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,265) x common factors =1 x 1 = 1
LCM(21,265) = ( 21 × 265 ) / 1
LCM(21,265) = 5565 / 1
LCM(21,265) = 5565
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 7511/21, 4044/265?
Answer: GCF of Numerators as per given numbers 7511/21, 4044/265 is
GCF of Numerators i.e. for 7511,4044 is 1
LCM of denominators i.e. for 21,265 is 5565.
Thus, GCF of Fractions is 1/5565.Finally, GCF of Fractions for 7511/21, 4044/265 is 1/5565.