Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 303/77,2763/650
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 303,2763
Greatest Common Factor of Numerators i.e. GCF of 303,2763 is 3 .
LCM of Denominators means LCM of 77,650 as per the given fractions.
LCM of 77,650 is 50050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 303,2763
3 | 303, 2763 |
101, 921 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 2763
List of positive integer factors of 2763 that divides 2763 without a remainder.
1,3,9,307,921,2763
Greatest Common Factor
We found the factors 303,2763 . The biggest common factor number is the GCF number.
So the greatest common factor 303,2763 is 3.
Lets's calculate LCM of 77,650
Given numbers has no common factors except 1. So, there LCM is their product i.e 50050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/50050
Therefore, the GCF of Fractions 303/77,2763/650 is 3/50050
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 77,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,650) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,650) x common factors =1 x 1 = 1
LCM(77,650) = ( 77 × 650 ) / 1
LCM(77,650) = 50050 / 1
LCM(77,650) = 50050
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 303/77, 2763/650?
Answer: GCF of Numerators as per given numbers 303/77, 2763/650 is
GCF of Numerators i.e. for 303,2763 is 3
LCM of denominators i.e. for 77,650 is 50050.
Thus, GCF of Fractions is 3/50050.Finally, GCF of Fractions for 303/77, 2763/650 is 3/50050.