GCF of 7359/461, 5859/9626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7359/461, 5859/9626 i.e 3/4437586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7359/461, 5859/9626.
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 7359/461,5859/9626?
Given fractions are 7359/461,5859/9626
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 7359/461,5859/9626, numerators are 7359,5859
Denominators are 461,9626
The GCF of 7359,5859 is 3 .
LCM of 461,9626 is 4437586.
The greatest common factor of 7359/461,5859/9626 = [GCF of 7359,5859]/[LCM of 461,9626]= 3/4437586
Therefore, the GCF of 7359/461,5859/9626 is 3/4437586.
To find the highest common factor of 7359,5859, we have to find the factors of both numbers and list the highest common factor.
The factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359
The factors of 5859 are 1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859
The HCF of 7359,5859 is 3.
Lets's calculate GCF of 7359,5859
| 3 | 7359, 5859 |
| 2453, 1953 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7359,5859 By Matching Biggest Common Factor Method
Now, list down the factors of 7359
:1,3,11,33,223,669,2453,7359
Now, list down the factors of 5859
:1,3,7,9,21,27,31,63,93,189,217,279,651,837,1953,5859
Greatest Common Factor
We found the factors 7359,5859 . The biggest common factor number is the GCF number.
So the greatest common factor 7359,5859 is 3.
Lets's calculate LCM of 461,9626
Given numbers has no common factors except 1. So, there LCM is their product i.e 4437586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4437586
Therefore, the GCF of Fractions 7359/461,5859/9626 is 3/4437586
Least Common Multiple of 461,9626 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 461,9626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,9626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,9626) x common factors =1 x 1 = 1
LCM(461,9626) = ( 461 × 9626 ) / 1
LCM(461,9626) = 4437586 / 1
LCM(461,9626) = 4437586
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FAQs on GCF of Fractions of 7359/461, 5859/9626
1. What is the HCF of 7359,5859?
The HCF of 7359,5859 is 3
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 7359/461, 5859/9626?
Answer: GCF of Numerators as per given numbers 7359/461, 5859/9626 is
GCF of Numerators i.e. for 7359,5859 is 3
LCM of denominators i.e. for 461,9626 is 4437586.
Thus, GCF of Fractions is 3/4437586.Finally, GCF of Fractions for 7359/461, 5859/9626 is 3/4437586.