GCF of 9588/173, 9724/7546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9588/173, 9724/7546 i.e 68/1305458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9588/173, 9724/7546.
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 9588/173,9724/7546?
Given fractions are 9588/173,9724/7546
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 9588/173,9724/7546, numerators are 9588,9724
Denominators are 173,7546
The GCF of 9588,9724 is 68 .
LCM of 173,7546 is 1305458.
The greatest common factor of 9588/173,9724/7546 = [GCF of 9588,9724]/[LCM of 173,7546]= 68/1305458
Therefore, the GCF of 9588/173,9724/7546 is 68/1305458.
To find the highest common factor of 9588,9724, we have to find the factors of both numbers and list the highest common factor.
The factors of 9588 are 1, 2, 3, 4, 6, 12, 17, 34, 47, 51, 68, 94, 102, 141, 188, 204, 282, 564, 799, 1598, 2397, 3196, 4794, 9588
The factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724
The HCF of 9588,9724 is 68.
Lets's calculate GCF of 9588,9724
| 2 | 9588, 9724 |
| 2 | 4794, 4862 |
| 17 | 2397, 2431 |
| 141, 143 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Greatest Common Factor of 9588,9724 By Matching Biggest Common Factor Method
Now, list down the factors of 9588
:1,2,3,4,6,12,17,34,47,51,68,94,102,141,188,204,282,564,799,1598,2397,3196,4794,9588
Now, list down the factors of 9724
:1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724
Greatest Common Factor
We found the factors 9588,9724 . The biggest common factor number is the GCF number.
So the greatest common factor 9588,9724 is 68.
Lets's calculate LCM of 173,7546
Given numbers has no common factors except 1. So, there LCM is their product i.e 1305458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/1305458
Therefore, the GCF of Fractions 9588/173,9724/7546 is 68/1305458
Least Common Multiple of 173,7546 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 173,7546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,7546) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,7546) x common factors =1 x 1 = 1
LCM(173,7546) = ( 173 × 7546 ) / 1
LCM(173,7546) = 1305458 / 1
LCM(173,7546) = 1305458
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FAQs on GCF of Fractions of 9588/173, 9724/7546
1. What is the HCF of 9588,9724?
The HCF of 9588,9724 is 68
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 9588/173, 9724/7546?
Answer: GCF of Numerators as per given numbers 9588/173, 9724/7546 is
GCF of Numerators i.e. for 9588,9724 is 68
LCM of denominators i.e. for 173,7546 is 1305458.
Thus, GCF of Fractions is 68/1305458.Finally, GCF of Fractions for 9588/173, 9724/7546 is 68/1305458.