GCF of 9882/928, 8982/1382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9882/928, 8982/1382 i.e 18/641248 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9882/928, 8982/1382.
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 9882/928,8982/1382?
Given fractions are 9882/928,8982/1382
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 9882/928,8982/1382, numerators are 9882,8982
Denominators are 928,1382
The GCF of 9882,8982 is 18 .
LCM of 928,1382 is 641248.
The greatest common factor of 9882/928,8982/1382 = [GCF of 9882,8982]/[LCM of 928,1382]= 18/641248
Therefore, the GCF of 9882/928,8982/1382 is 18/641248.
To find the highest common factor of 9882,8982, we have to find the factors of both numbers and list the highest common factor.
The factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882
The factors of 8982 are 1, 2, 3, 6, 9, 18, 499, 998, 1497, 2994, 4491, 8982
The HCF of 9882,8982 is 18.
Lets's calculate GCF of 9882,8982
| 2 | 9882, 8982 |
| 3 | 4941, 4491 |
| 3 | 1647, 1497 |
| 549, 499 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 9882,8982 By Matching Biggest Common Factor Method
Now, list down the factors of 9882
:1,2,3,6,9,18,27,54,61,81,122,162,183,366,549,1098,1647,3294,4941,9882
Now, list down the factors of 8982
:1,2,3,6,9,18,499,998,1497,2994,4491,8982
Greatest Common Factor
We found the factors 9882,8982 . The biggest common factor number is the GCF number.
So the greatest common factor 9882,8982 is 18.
Lets's calculate LCM of 928,1382
| 2 | 928, 1382 |
| 464, 691 |
∴ So the LCM of the given numbers is 2 x 464 x 691 = 641248
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/641248
Therefore, the GCF of Fractions 9882/928,8982/1382 is 18/641248
Least Common Multiple of 928,1382 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 928,1382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,1382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(928,1382) x common factors =2 x 1 = 2
LCM(928,1382) = ( 928 × 1382 ) / 2
LCM(928,1382) = 1282496 / 2
LCM(928,1382) = 641248
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9882/928, 8982/1382
1. What is the HCF of 9882,8982?
The HCF of 9882,8982 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 9882/928, 8982/1382?
Answer: GCF of Numerators as per given numbers 9882/928, 8982/1382 is
GCF of Numerators i.e. for 9882,8982 is 18
LCM of denominators i.e. for 928,1382 is 641248.
Thus, GCF of Fractions is 18/641248.Finally, GCF of Fractions for 9882/928, 8982/1382 is 18/641248.