Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 737/21,2508/993
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 737,2508
Greatest Common Factor of Numerators i.e. GCF of 737,2508 is 11 .
LCM of Denominators means LCM of 21,993 as per the given fractions.
LCM of 21,993 is 6951 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 737,2508
11 | 737, 2508 |
67, 228 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Factors of 2508
List of positive integer factors of 2508 that divides 2508 without a remainder.
1,2,3,4,6,11,12,19,22,33,38,44,57,66,76,114,132,209,228,418,627,836,1254,2508
Greatest Common Factor
We found the factors 737,2508 . The biggest common factor number is the GCF number.
So the greatest common factor 737,2508 is 11.
Lets's calculate LCM of 21,993
3 | 21, 993 |
7, 331 |
∴ So the LCM of the given numbers is 3 x 7 x 331 = 6951
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/6951
Therefore, the GCF of Fractions 737/21,2508/993 is 11/6951
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 21,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(21,993) x common factors =3 x 1 = 3
LCM(21,993) = ( 21 × 993 ) / 3
LCM(21,993) = 20853 / 3
LCM(21,993) = 6951
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 737/21, 2508/993?
Answer: GCF of Numerators as per given numbers 737/21, 2508/993 is
GCF of Numerators i.e. for 737,2508 is 11
LCM of denominators i.e. for 21,993 is 6951.
Thus, GCF of Fractions is 11/6951.Finally, GCF of Fractions for 737/21, 2508/993 is 11/6951.