Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 755/307,3523/346
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 755,3523
Greatest Common Factor of Numerators i.e. GCF of 755,3523 is 1 .
LCM of Denominators means LCM of 307,346 as per the given fractions.
LCM of 307,346 is 106222 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 755,3523
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Factors of 3523
List of positive integer factors of 3523 that divides 3523 without a remainder.
1,13,271,3523
Greatest Common Factor
We found the factors 755,3523 . The biggest common factor number is the GCF number.
So the greatest common factor 755,3523 is 1.
Lets's calculate LCM of 307,346
Given numbers has no common factors except 1. So, there LCM is their product i.e 106222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106222
Therefore, the GCF of Fractions 755/307,3523/346 is 1/106222
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 307,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,346) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,346) x common factors =1 x 1 = 1
LCM(307,346) = ( 307 × 346 ) / 1
LCM(307,346) = 106222 / 1
LCM(307,346) = 106222
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 755/307, 3523/346?
Answer: GCF of Numerators as per given numbers 755/307, 3523/346 is
GCF of Numerators i.e. for 755,3523 is 1
LCM of denominators i.e. for 307,346 is 106222.
Thus, GCF of Fractions is 1/106222.Finally, GCF of Fractions for 755/307, 3523/346 is 1/106222.