GCF of 3321/789, 3371/903
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3321/789, 3371/903 i.e 1/237489 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3321/789, 3371/903.
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 3321/789,3371/903?
Given fractions are 3321/789,3371/903
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 3321/789,3371/903, numerators are 3321,3371
Denominators are 789,903
The GCF of 3321,3371 is 1 .
LCM of 789,903 is 237489.
The greatest common factor of 3321/789,3371/903 = [GCF of 3321,3371]/[LCM of 789,903]= 1/237489
Therefore, the GCF of 3321/789,3371/903 is 1/237489.
To find the highest common factor of 3321,3371, we have to find the factors of both numbers and list the highest common factor.
The factors of 3321 are 1, 3, 9, 27, 41, 81, 123, 369, 1107, 3321
The factors of 3371 are 1, 3371
The HCF of 3321,3371 is 1.
Lets's calculate GCF of 3321,3371
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3321,3371 By Matching Biggest Common Factor Method
Now, list down the factors of 3321
:1,3,9,27,41,81,123,369,1107,3321
Now, list down the factors of 3371
:1,3371
Greatest Common Factor
We found the factors 3321,3371 . The biggest common factor number is the GCF number.
So the greatest common factor 3321,3371 is 1.
Lets's calculate LCM of 789,903
| 3 | 789, 903 |
| 263, 301 |
∴ So the LCM of the given numbers is 3 x 263 x 301 = 237489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237489
Therefore, the GCF of Fractions 3321/789,3371/903 is 1/237489
Least Common Multiple of 789,903 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 789,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,903) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,903) x common factors =3 x 1 = 3
LCM(789,903) = ( 789 × 903 ) / 3
LCM(789,903) = 712467 / 3
LCM(789,903) = 237489
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FAQs on GCF of Fractions of 3321/789, 3371/903
1. What is the HCF of 3321,3371?
The HCF of 3321,3371 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 3321/789, 3371/903?
Answer: GCF of Numerators as per given numbers 3321/789, 3371/903 is
GCF of Numerators i.e. for 3321,3371 is 1
LCM of denominators i.e. for 789,903 is 237489.
Thus, GCF of Fractions is 1/237489.Finally, GCF of Fractions for 3321/789, 3371/903 is 1/237489.