GCF of 9990/916, 8125/1162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9990/916, 8125/1162 i.e 5/532196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9990/916, 8125/1162.
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 9990/916,8125/1162?
Given fractions are 9990/916,8125/1162
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 9990/916,8125/1162, numerators are 9990,8125
Denominators are 916,1162
The GCF of 9990,8125 is 5 .
LCM of 916,1162 is 532196.
The greatest common factor of 9990/916,8125/1162 = [GCF of 9990,8125]/[LCM of 916,1162]= 5/532196
Therefore, the GCF of 9990/916,8125/1162 is 5/532196.
To find the highest common factor of 9990,8125, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8125 are 1, 5, 13, 25, 65, 125, 325, 625, 1625, 8125
The HCF of 9990,8125 is 5.
Lets's calculate GCF of 9990,8125
| 5 | 9990, 8125 |
| 1998, 1625 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9990,8125 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8125
:1,5,13,25,65,125,325,625,1625,8125
Greatest Common Factor
We found the factors 9990,8125 . The biggest common factor number is the GCF number.
So the greatest common factor 9990,8125 is 5.
Lets's calculate LCM of 916,1162
| 2 | 916, 1162 |
| 458, 581 |
∴ So the LCM of the given numbers is 2 x 458 x 581 = 532196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/532196
Therefore, the GCF of Fractions 9990/916,8125/1162 is 5/532196
Least Common Multiple of 916,1162 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 916,1162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,1162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(916,1162) x common factors =2 x 1 = 2
LCM(916,1162) = ( 916 × 1162 ) / 2
LCM(916,1162) = 1064392 / 2
LCM(916,1162) = 532196
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FAQs on GCF of Fractions of 9990/916, 8125/1162
1. What is the HCF of 9990,8125?
The HCF of 9990,8125 is 5
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 9990/916, 8125/1162?
Answer: GCF of Numerators as per given numbers 9990/916, 8125/1162 is
GCF of Numerators i.e. for 9990,8125 is 5
LCM of denominators i.e. for 916,1162 is 532196.
Thus, GCF of Fractions is 5/532196.Finally, GCF of Fractions for 9990/916, 8125/1162 is 5/532196.