GCF of 7381/292, 7722/6155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7381/292, 7722/6155 i.e 11/1797260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7381/292, 7722/6155.
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 7381/292,7722/6155?
Given fractions are 7381/292,7722/6155
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 7381/292,7722/6155, numerators are 7381,7722
Denominators are 292,6155
The GCF of 7381,7722 is 11 .
LCM of 292,6155 is 1797260.
The greatest common factor of 7381/292,7722/6155 = [GCF of 7381,7722]/[LCM of 292,6155]= 11/1797260
Therefore, the GCF of 7381/292,7722/6155 is 11/1797260.
To find the highest common factor of 7381,7722, we have to find the factors of both numbers and list the highest common factor.
The factors of 7381 are 1, 11, 61, 121, 671, 7381
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 7381,7722 is 11.
Lets's calculate GCF of 7381,7722
| 11 | 7381, 7722 |
| 671, 702 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7381,7722 By Matching Biggest Common Factor Method
Now, list down the factors of 7381
:1,11,61,121,671,7381
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 7381,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 7381,7722 is 11.
Lets's calculate LCM of 292,6155
Given numbers has no common factors except 1. So, there LCM is their product i.e 1797260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1797260
Therefore, the GCF of Fractions 7381/292,7722/6155 is 11/1797260
Least Common Multiple of 292,6155 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 292,6155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,6155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(292,6155) x common factors =1 x 1 = 1
LCM(292,6155) = ( 292 × 6155 ) / 1
LCM(292,6155) = 1797260 / 1
LCM(292,6155) = 1797260
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FAQs on GCF of Fractions of 7381/292, 7722/6155
1. What is the HCF of 7381,7722?
The HCF of 7381,7722 is 11
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 7381/292, 7722/6155?
Answer: GCF of Numerators as per given numbers 7381/292, 7722/6155 is
GCF of Numerators i.e. for 7381,7722 is 11
LCM of denominators i.e. for 292,6155 is 1797260.
Thus, GCF of Fractions is 11/1797260.Finally, GCF of Fractions for 7381/292, 7722/6155 is 11/1797260.