GCF of 7382/441, 8910/889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7382/441, 8910/889 i.e 2/56007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7382/441, 8910/889.
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 7382/441,8910/889?
Given fractions are 7382/441,8910/889
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 7382/441,8910/889, numerators are 7382,8910
Denominators are 441,889
The GCF of 7382,8910 is 2 .
LCM of 441,889 is 56007.
The greatest common factor of 7382/441,8910/889 = [GCF of 7382,8910]/[LCM of 441,889]= 2/56007
Therefore, the GCF of 7382/441,8910/889 is 2/56007.
To find the highest common factor of 7382,8910, we have to find the factors of both numbers and list the highest common factor.
The factors of 7382 are 1, 2, 3691, 7382
The factors of 8910 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 81, 90, 99, 110, 135, 162, 165, 198, 270, 297, 330, 405, 495, 594, 810, 891, 990, 1485, 1782, 2970, 4455, 8910
The HCF of 7382,8910 is 2.
Lets's calculate GCF of 7382,8910
| 2 | 7382, 8910 |
| 3691, 4455 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7382,8910 By Matching Biggest Common Factor Method
Now, list down the factors of 7382
:1,2,3691,7382
Now, list down the factors of 8910
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,81,90,99,110,135,162,165,198,270,297,330,405,495,594,810,891,990,1485,1782,2970,4455,8910
Greatest Common Factor
We found the factors 7382,8910 . The biggest common factor number is the GCF number.
So the greatest common factor 7382,8910 is 2.
Lets's calculate LCM of 441,889
| 7 | 441, 889 |
| 63, 127 |
∴ So the LCM of the given numbers is 7 x 63 x 127 = 56007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56007
Therefore, the GCF of Fractions 7382/441,8910/889 is 2/56007
Least Common Multiple of 441,889 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 441,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,889) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(441,889) x common factors =7 x 1 = 7
LCM(441,889) = ( 441 × 889 ) / 7
LCM(441,889) = 392049 / 7
LCM(441,889) = 56007
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FAQs on GCF of Fractions of 7382/441, 8910/889
1. What is the HCF of 7382,8910?
The HCF of 7382,8910 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 7382/441, 8910/889?
Answer: GCF of Numerators as per given numbers 7382/441, 8910/889 is
GCF of Numerators i.e. for 7382,8910 is 2
LCM of denominators i.e. for 441,889 is 56007.
Thus, GCF of Fractions is 2/56007.Finally, GCF of Fractions for 7382/441, 8910/889 is 2/56007.