GCF of 4121/332, 7722/6967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4121/332, 7722/6967 i.e 13/2313044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4121/332, 7722/6967.
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 4121/332,7722/6967?
Given fractions are 4121/332,7722/6967
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 4121/332,7722/6967, numerators are 4121,7722
Denominators are 332,6967
The GCF of 4121,7722 is 13 .
LCM of 332,6967 is 2313044.
The greatest common factor of 4121/332,7722/6967 = [GCF of 4121,7722]/[LCM of 332,6967]= 13/2313044
Therefore, the GCF of 4121/332,7722/6967 is 13/2313044.
To find the highest common factor of 4121,7722, we have to find the factors of both numbers and list the highest common factor.
The factors of 4121 are 1, 13, 317, 4121
The factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722
The HCF of 4121,7722 is 13.
Lets's calculate GCF of 4121,7722
| 13 | 4121, 7722 |
| 317, 594 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4121,7722 By Matching Biggest Common Factor Method
Now, list down the factors of 4121
:1,13,317,4121
Now, list down the factors of 7722
:1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722
Greatest Common Factor
We found the factors 4121,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 4121,7722 is 13.
Lets's calculate LCM of 332,6967
Given numbers has no common factors except 1. So, there LCM is their product i.e 2313044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2313044
Therefore, the GCF of Fractions 4121/332,7722/6967 is 13/2313044
Least Common Multiple of 332,6967 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 332,6967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(332,6967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(332,6967) x common factors =1 x 1 = 1
LCM(332,6967) = ( 332 × 6967 ) / 1
LCM(332,6967) = 2313044 / 1
LCM(332,6967) = 2313044
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4121/332, 7722/6967
1. What is the HCF of 4121,7722?
The HCF of 4121,7722 is 13
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 4121/332, 7722/6967?
Answer: GCF of Numerators as per given numbers 4121/332, 7722/6967 is
GCF of Numerators i.e. for 4121,7722 is 13
LCM of denominators i.e. for 332,6967 is 2313044.
Thus, GCF of Fractions is 13/2313044.Finally, GCF of Fractions for 4121/332, 7722/6967 is 13/2313044.