GCF of 1592/482, 8751/9134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1592/482, 8751/9134 i.e 1/2201294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1592/482, 8751/9134.
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 1592/482,8751/9134?
Given fractions are 1592/482,8751/9134
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 1592/482,8751/9134, numerators are 1592,8751
Denominators are 482,9134
The GCF of 1592,8751 is 1 .
LCM of 482,9134 is 2201294.
The greatest common factor of 1592/482,8751/9134 = [GCF of 1592,8751]/[LCM of 482,9134]= 1/2201294
Therefore, the GCF of 1592/482,8751/9134 is 1/2201294.
To find the highest common factor of 1592,8751, we have to find the factors of both numbers and list the highest common factor.
The factors of 1592 are 1, 2, 4, 8, 199, 398, 796, 1592
The factors of 8751 are 1, 3, 2917, 8751
The HCF of 1592,8751 is 1.
Lets's calculate GCF of 1592,8751
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1592,8751 By Matching Biggest Common Factor Method
Now, list down the factors of 1592
:1,2,4,8,199,398,796,1592
Now, list down the factors of 8751
:1,3,2917,8751
Greatest Common Factor
We found the factors 1592,8751 . The biggest common factor number is the GCF number.
So the greatest common factor 1592,8751 is 1.
Lets's calculate LCM of 482,9134
| 2 | 482, 9134 |
| 241, 4567 |
∴ So the LCM of the given numbers is 2 x 241 x 4567 = 2201294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2201294
Therefore, the GCF of Fractions 1592/482,8751/9134 is 1/2201294
Least Common Multiple of 482,9134 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 482,9134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,9134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,9134) x common factors =2 x 1 = 2
LCM(482,9134) = ( 482 × 9134 ) / 2
LCM(482,9134) = 4402588 / 2
LCM(482,9134) = 2201294
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FAQs on GCF of Fractions of 1592/482, 8751/9134
1. What is the HCF of 1592,8751?
The HCF of 1592,8751 is 1
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 1592/482, 8751/9134?
Answer: GCF of Numerators as per given numbers 1592/482, 8751/9134 is
GCF of Numerators i.e. for 1592,8751 is 1
LCM of denominators i.e. for 482,9134 is 2201294.
Thus, GCF of Fractions is 1/2201294.Finally, GCF of Fractions for 1592/482, 8751/9134 is 1/2201294.