Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 535/44,5030/775
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 535,5030
Greatest Common Factor of Numerators i.e. GCF of 535,5030 is 5 .
LCM of Denominators means LCM of 44,775 as per the given fractions.
LCM of 44,775 is 34100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 535,5030
5 | 535, 5030 |
107, 1006 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 5030
List of positive integer factors of 5030 that divides 5030 without a remainder.
1,2,5,10,503,1006,2515,5030
Greatest Common Factor
We found the factors 535,5030 . The biggest common factor number is the GCF number.
So the greatest common factor 535,5030 is 5.
Lets's calculate LCM of 44,775
Given numbers has no common factors except 1. So, there LCM is their product i.e 34100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/34100
Therefore, the GCF of Fractions 535/44,5030/775 is 5/34100
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 44,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,775) x common factors =1 x 1 = 1
LCM(44,775) = ( 44 × 775 ) / 1
LCM(44,775) = 34100 / 1
LCM(44,775) = 34100
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 535/44, 5030/775?
Answer: GCF of Numerators as per given numbers 535/44, 5030/775 is
GCF of Numerators i.e. for 535,5030 is 5
LCM of denominators i.e. for 44,775 is 34100.
Thus, GCF of Fractions is 5/34100.Finally, GCF of Fractions for 535/44, 5030/775 is 5/34100.