GCF of 9990/83, 8172/851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9990/83, 8172/851 i.e 18/70633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9990/83, 8172/851.
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 9990/83,8172/851?
Given fractions are 9990/83,8172/851
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 9990/83,8172/851, numerators are 9990,8172
Denominators are 83,851
The GCF of 9990,8172 is 18 .
LCM of 83,851 is 70633.
The greatest common factor of 9990/83,8172/851 = [GCF of 9990,8172]/[LCM of 83,851]= 18/70633
Therefore, the GCF of 9990/83,8172/851 is 18/70633.
To find the highest common factor of 9990,8172, 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 8172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172
The HCF of 9990,8172 is 18.
Lets's calculate GCF of 9990,8172
| 2 | 9990, 8172 |
| 3 | 4995, 4086 |
| 3 | 1665, 1362 |
| 555, 454 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 9990,8172 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 8172
:1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172
Greatest Common Factor
We found the factors 9990,8172 . The biggest common factor number is the GCF number.
So the greatest common factor 9990,8172 is 18.
Lets's calculate LCM of 83,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 70633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/70633
Therefore, the GCF of Fractions 9990/83,8172/851 is 18/70633
Least Common Multiple of 83,851 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 83,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,851) x common factors =1 x 1 = 1
LCM(83,851) = ( 83 × 851 ) / 1
LCM(83,851) = 70633 / 1
LCM(83,851) = 70633
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FAQs on GCF of Fractions of 9990/83, 8172/851
1. What is the HCF of 9990,8172?
The HCF of 9990,8172 is 18
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 9990/83, 8172/851?
Answer: GCF of Numerators as per given numbers 9990/83, 8172/851 is
GCF of Numerators i.e. for 9990,8172 is 18
LCM of denominators i.e. for 83,851 is 70633.
Thus, GCF of Fractions is 18/70633.Finally, GCF of Fractions for 9990/83, 8172/851 is 18/70633.