GCF of 5496/755, 9990/232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5496/755, 9990/232 i.e 6/175160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5496/755, 9990/232.
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 5496/755,9990/232?
Given fractions are 5496/755,9990/232
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 5496/755,9990/232, numerators are 5496,9990
Denominators are 755,232
The GCF of 5496,9990 is 6 .
LCM of 755,232 is 175160.
The greatest common factor of 5496/755,9990/232 = [GCF of 5496,9990]/[LCM of 755,232]= 6/175160
Therefore, the GCF of 5496/755,9990/232 is 6/175160.
To find the highest common factor of 5496,9990, we have to find the factors of both numbers and list the highest common factor.
The factors of 5496 are 1, 2, 3, 4, 6, 8, 12, 24, 229, 458, 687, 916, 1374, 1832, 2748, 5496
The factors of 9990 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 90, 111, 135, 185, 222, 270, 333, 370, 555, 666, 999, 1110, 1665, 1998, 3330, 4995, 9990
The HCF of 5496,9990 is 6.
Lets's calculate GCF of 5496,9990
| 2 | 5496, 9990 |
| 3 | 2748, 4995 |
| 916, 1665 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5496,9990 By Matching Biggest Common Factor Method
Now, list down the factors of 5496
:1,2,3,4,6,8,12,24,229,458,687,916,1374,1832,2748,5496
Now, list down the factors of 9990
:1,2,3,5,6,9,10,15,18,27,30,37,45,54,74,90,111,135,185,222,270,333,370,555,666,999,1110,1665,1998,3330,4995,9990
Greatest Common Factor
We found the factors 5496,9990 . The biggest common factor number is the GCF number.
So the greatest common factor 5496,9990 is 6.
Lets's calculate LCM of 755,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 175160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/175160
Therefore, the GCF of Fractions 5496/755,9990/232 is 6/175160
Least Common Multiple of 755,232 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 755,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(755,232) x common factors =1 x 1 = 1
LCM(755,232) = ( 755 × 232 ) / 1
LCM(755,232) = 175160 / 1
LCM(755,232) = 175160
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FAQs on GCF of Fractions of 5496/755, 9990/232
1. What is the HCF of 5496,9990?
The HCF of 5496,9990 is 6
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 5496/755, 9990/232?
Answer: GCF of Numerators as per given numbers 5496/755, 9990/232 is
GCF of Numerators i.e. for 5496,9990 is 6
LCM of denominators i.e. for 755,232 is 175160.
Thus, GCF of Fractions is 6/175160.Finally, GCF of Fractions for 5496/755, 9990/232 is 6/175160.