GCF of 3122/273, 3309/6769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3122/273, 3309/6769 i.e 1/263991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3122/273, 3309/6769.
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 3122/273,3309/6769?
Given fractions are 3122/273,3309/6769
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 3122/273,3309/6769, numerators are 3122,3309
Denominators are 273,6769
The GCF of 3122,3309 is 1 .
LCM of 273,6769 is 263991.
The greatest common factor of 3122/273,3309/6769 = [GCF of 3122,3309]/[LCM of 273,6769]= 1/263991
Therefore, the GCF of 3122/273,3309/6769 is 1/263991.
To find the highest common factor of 3122,3309, we have to find the factors of both numbers and list the highest common factor.
The factors of 3122 are 1, 2, 7, 14, 223, 446, 1561, 3122
The factors of 3309 are 1, 3, 1103, 3309
The HCF of 3122,3309 is 1.
Lets's calculate GCF of 3122,3309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3122,3309 By Matching Biggest Common Factor Method
Now, list down the factors of 3122
:1,2,7,14,223,446,1561,3122
Now, list down the factors of 3309
:1,3,1103,3309
Greatest Common Factor
We found the factors 3122,3309 . The biggest common factor number is the GCF number.
So the greatest common factor 3122,3309 is 1.
Lets's calculate LCM of 273,6769
| 7 | 273, 6769 |
| 39, 967 |
∴ So the LCM of the given numbers is 7 x 39 x 967 = 263991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263991
Therefore, the GCF of Fractions 3122/273,3309/6769 is 1/263991
Least Common Multiple of 273,6769 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 273,6769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,6769) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(273,6769) x common factors =7 x 1 = 7
LCM(273,6769) = ( 273 × 6769 ) / 7
LCM(273,6769) = 1847937 / 7
LCM(273,6769) = 263991
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3122/273, 3309/6769
1. What is the HCF of 3122,3309?
The HCF of 3122,3309 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 3122/273, 3309/6769?
Answer: GCF of Numerators as per given numbers 3122/273, 3309/6769 is
GCF of Numerators i.e. for 3122,3309 is 1
LCM of denominators i.e. for 273,6769 is 263991.
Thus, GCF of Fractions is 1/263991.Finally, GCF of Fractions for 3122/273, 3309/6769 is 1/263991.