GCF of 9882/880, 2678/321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9882/880, 2678/321 i.e 2/282480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9882/880, 2678/321.
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 9882/880,2678/321?
Given fractions are 9882/880,2678/321
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 9882/880,2678/321, numerators are 9882,2678
Denominators are 880,321
The GCF of 9882,2678 is 2 .
LCM of 880,321 is 282480.
The greatest common factor of 9882/880,2678/321 = [GCF of 9882,2678]/[LCM of 880,321]= 2/282480
Therefore, the GCF of 9882/880,2678/321 is 2/282480.
To find the highest common factor of 9882,2678, 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 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678
The HCF of 9882,2678 is 2.
Lets's calculate GCF of 9882,2678
| 2 | 9882, 2678 |
| 4941, 1339 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9882,2678 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 2678
:1,2,13,26,103,206,1339,2678
Greatest Common Factor
We found the factors 9882,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 9882,2678 is 2.
Lets's calculate LCM of 880,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 282480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/282480
Therefore, the GCF of Fractions 9882/880,2678/321 is 2/282480
Least Common Multiple of 880,321 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 880,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(880,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(880,321) x common factors =1 x 1 = 1
LCM(880,321) = ( 880 × 321 ) / 1
LCM(880,321) = 282480 / 1
LCM(880,321) = 282480
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FAQs on GCF of Fractions of 9882/880, 2678/321
1. What is the HCF of 9882,2678?
The HCF of 9882,2678 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 9882/880, 2678/321?
Answer: GCF of Numerators as per given numbers 9882/880, 2678/321 is
GCF of Numerators i.e. for 9882,2678 is 2
LCM of denominators i.e. for 880,321 is 282480.
Thus, GCF of Fractions is 2/282480.Finally, GCF of Fractions for 9882/880, 2678/321 is 2/282480.