Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7527/768,5475/229
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 7527,5475
Greatest Common Factor of Numerators i.e. GCF of 7527,5475 is 3 .
LCM of Denominators means LCM of 768,229 as per the given fractions.
LCM of 768,229 is 175872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7527,5475
3 | 7527, 5475 |
2509, 1825 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7527
List of positive integer factors of 7527 that divides 7527 without a remainder.
1,3,13,39,193,579,2509,7527
Factors of 5475
List of positive integer factors of 5475 that divides 5475 without a remainder.
1,3,5,15,25,73,75,219,365,1095,1825,5475
Greatest Common Factor
We found the factors 7527,5475 . The biggest common factor number is the GCF number.
So the greatest common factor 7527,5475 is 3.
Lets's calculate LCM of 768,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 175872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/175872
Therefore, the GCF of Fractions 7527/768,5475/229 is 3/175872
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 768,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(768,229) x common factors =1 x 1 = 1
LCM(768,229) = ( 768 × 229 ) / 1
LCM(768,229) = 175872 / 1
LCM(768,229) = 175872
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 7527/768, 5475/229?
Answer: GCF of Numerators as per given numbers 7527/768, 5475/229 is
GCF of Numerators i.e. for 7527,5475 is 3
LCM of denominators i.e. for 768,229 is 175872.
Thus, GCF of Fractions is 3/175872.Finally, GCF of Fractions for 7527/768, 5475/229 is 3/175872.