GCF of 9359/258, 7119/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9359/258, 7119/122 i.e 7/15738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9359/258, 7119/122.
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 9359/258,7119/122?
Given fractions are 9359/258,7119/122
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 9359/258,7119/122, numerators are 9359,7119
Denominators are 258,122
The GCF of 9359,7119 is 7 .
LCM of 258,122 is 15738.
The greatest common factor of 9359/258,7119/122 = [GCF of 9359,7119]/[LCM of 258,122]= 7/15738
Therefore, the GCF of 9359/258,7119/122 is 7/15738.
To find the highest common factor of 9359,7119, we have to find the factors of both numbers and list the highest common factor.
The factors of 9359 are 1, 7, 49, 191, 1337, 9359
The factors of 7119 are 1, 3, 7, 9, 21, 63, 113, 339, 791, 1017, 2373, 7119
The HCF of 9359,7119 is 7.
Lets's calculate GCF of 9359,7119
| 7 | 9359, 7119 |
| 1337, 1017 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9359,7119 By Matching Biggest Common Factor Method
Now, list down the factors of 9359
:1,7,49,191,1337,9359
Now, list down the factors of 7119
:1,3,7,9,21,63,113,339,791,1017,2373,7119
Greatest Common Factor
We found the factors 9359,7119 . The biggest common factor number is the GCF number.
So the greatest common factor 9359,7119 is 7.
Lets's calculate LCM of 258,122
| 2 | 258, 122 |
| 129, 61 |
∴ So the LCM of the given numbers is 2 x 129 x 61 = 15738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/15738
Therefore, the GCF of Fractions 9359/258,7119/122 is 7/15738
Least Common Multiple of 258,122 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 258,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,122) x common factors =2 x 1 = 2
LCM(258,122) = ( 258 × 122 ) / 2
LCM(258,122) = 31476 / 2
LCM(258,122) = 15738
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FAQs on GCF of Fractions of 9359/258, 7119/122
1. What is the HCF of 9359,7119?
The HCF of 9359,7119 is 7
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 9359/258, 7119/122?
Answer: GCF of Numerators as per given numbers 9359/258, 7119/122 is
GCF of Numerators i.e. for 9359,7119 is 7
LCM of denominators i.e. for 258,122 is 15738.
Thus, GCF of Fractions is 7/15738.Finally, GCF of Fractions for 9359/258, 7119/122 is 7/15738.