GCF of 8442/110, 7708/9365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8442/110, 7708/9365 i.e 2/206030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8442/110, 7708/9365.
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 8442/110,7708/9365?
Given fractions are 8442/110,7708/9365
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 8442/110,7708/9365, numerators are 8442,7708
Denominators are 110,9365
The GCF of 8442,7708 is 2 .
LCM of 110,9365 is 206030.
The greatest common factor of 8442/110,7708/9365 = [GCF of 8442,7708]/[LCM of 110,9365]= 2/206030
Therefore, the GCF of 8442/110,7708/9365 is 2/206030.
To find the highest common factor of 8442,7708, we have to find the factors of both numbers and list the highest common factor.
The factors of 8442 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442
The factors of 7708 are 1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708
The HCF of 8442,7708 is 2.
Lets's calculate GCF of 8442,7708
| 2 | 8442, 7708 |
| 4221, 3854 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8442,7708 By Matching Biggest Common Factor Method
Now, list down the factors of 8442
:1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442
Now, list down the factors of 7708
:1,2,4,41,47,82,94,164,188,1927,3854,7708
Greatest Common Factor
We found the factors 8442,7708 . The biggest common factor number is the GCF number.
So the greatest common factor 8442,7708 is 2.
Lets's calculate LCM of 110,9365
| 5 | 110, 9365 |
| 22, 1873 |
∴ So the LCM of the given numbers is 5 x 22 x 1873 = 206030
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/206030
Therefore, the GCF of Fractions 8442/110,7708/9365 is 2/206030
Least Common Multiple of 110,9365 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 110,9365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,9365) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(110,9365) x common factors =5 x 1 = 5
LCM(110,9365) = ( 110 × 9365 ) / 5
LCM(110,9365) = 1030150 / 5
LCM(110,9365) = 206030
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FAQs on GCF of Fractions of 8442/110, 7708/9365
1. What is the HCF of 8442,7708?
The HCF of 8442,7708 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 8442/110, 7708/9365?
Answer: GCF of Numerators as per given numbers 8442/110, 7708/9365 is
GCF of Numerators i.e. for 8442,7708 is 2
LCM of denominators i.e. for 110,9365 is 206030.
Thus, GCF of Fractions is 2/206030.Finally, GCF of Fractions for 8442/110, 7708/9365 is 2/206030.