GCF of 9588/750, 1810/4652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9588/750, 1810/4652 i.e 2/1744500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9588/750, 1810/4652.
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 9588/750,1810/4652?
Given fractions are 9588/750,1810/4652
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 9588/750,1810/4652, numerators are 9588,1810
Denominators are 750,4652
The GCF of 9588,1810 is 2 .
LCM of 750,4652 is 1744500.
The greatest common factor of 9588/750,1810/4652 = [GCF of 9588,1810]/[LCM of 750,4652]= 2/1744500
Therefore, the GCF of 9588/750,1810/4652 is 2/1744500.
To find the highest common factor of 9588,1810, 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 1810 are 1, 2, 5, 10, 181, 362, 905, 1810
The HCF of 9588,1810 is 2.
Lets's calculate GCF of 9588,1810
| 2 | 9588, 1810 |
| 4794, 905 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9588,1810 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 1810
:1,2,5,10,181,362,905,1810
Greatest Common Factor
We found the factors 9588,1810 . The biggest common factor number is the GCF number.
So the greatest common factor 9588,1810 is 2.
Lets's calculate LCM of 750,4652
| 2 | 750, 4652 |
| 375, 2326 |
∴ So the LCM of the given numbers is 2 x 375 x 2326 = 1744500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1744500
Therefore, the GCF of Fractions 9588/750,1810/4652 is 2/1744500
Least Common Multiple of 750,4652 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 750,4652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,4652) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(750,4652) x common factors =2 x 1 = 2
LCM(750,4652) = ( 750 × 4652 ) / 2
LCM(750,4652) = 3489000 / 2
LCM(750,4652) = 1744500
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FAQs on GCF of Fractions of 9588/750, 1810/4652
1. What is the HCF of 9588,1810?
The HCF of 9588,1810 is 2
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 9588/750, 1810/4652?
Answer: GCF of Numerators as per given numbers 9588/750, 1810/4652 is
GCF of Numerators i.e. for 9588,1810 is 2
LCM of denominators i.e. for 750,4652 is 1744500.
Thus, GCF of Fractions is 2/1744500.Finally, GCF of Fractions for 9588/750, 1810/4652 is 2/1744500.