GCF of 303/21, 749/969
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 303/21, 749/969 i.e 1/6783 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/21, 749/969.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 303/21,749/969?
Given fractions are 303/21,749/969
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 303/21,749/969, numerators are 303,749
Denominators are 21,969
The GCF of 303,749 is 1 .
LCM of 21,969 is 6783.
The greatest common factor of 303/21,749/969 = [GCF of 303,749]/[LCM of 21,969]= 1/6783
Therefore, the GCF of 303/21,749/969 is 1/6783.
To find the highest common factor of 303,749, we have to find the factors of both numbers and list the highest common factor.
The factors of 303 are 1, 3, 101, 303
The factors of 749 are 1, 7, 107, 749
The HCF of 303,749 is 1.
Lets's calculate GCF of 303,749
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 303,749 By Matching Biggest Common Factor Method
Now, list down the factors of 303
:1,3,101,303
Now, list down the factors of 749
:1,7,107,749
Greatest Common Factor
We found the factors 303,749 . The biggest common factor number is the GCF number.
So the greatest common factor 303,749 is 1.
Lets's calculate LCM of 21,969
| 3 | 21, 969 |
| 7, 323 |
∴ So the LCM of the given numbers is 3 x 7 x 323 = 6783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6783
Therefore, the GCF of Fractions 303/21,749/969 is 1/6783
Least Common Multiple of 21,969 with GCF Formula
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 21,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,969) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(21,969) x common factors =3 x 1 = 3
LCM(21,969) = ( 21 × 969 ) / 3
LCM(21,969) = 20349 / 3
LCM(21,969) = 6783
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 303/21, 749/969
1. What is the HCF of 303,749?
The HCF of 303,749 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 303/21, 749/969?
Answer: GCF of Numerators as per given numbers 303/21, 749/969 is
GCF of Numerators i.e. for 303,749 is 1
LCM of denominators i.e. for 21,969 is 6783.
Thus, GCF of Fractions is 1/6783.Finally, GCF of Fractions for 303/21, 749/969 is 1/6783.