GCF of 8190/110, 5118/894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8190/110, 5118/894 i.e 6/49170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8190/110, 5118/894.
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 8190/110,5118/894?
Given fractions are 8190/110,5118/894
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 8190/110,5118/894, numerators are 8190,5118
Denominators are 110,894
The GCF of 8190,5118 is 6 .
LCM of 110,894 is 49170.
The greatest common factor of 8190/110,5118/894 = [GCF of 8190,5118]/[LCM of 110,894]= 6/49170
Therefore, the GCF of 8190/110,5118/894 is 6/49170.
To find the highest common factor of 8190,5118, we have to find the factors of both numbers and list the highest common factor.
The factors of 8190 are 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190
The factors of 5118 are 1, 2, 3, 6, 853, 1706, 2559, 5118
The HCF of 8190,5118 is 6.
Lets's calculate GCF of 8190,5118
| 2 | 8190, 5118 |
| 3 | 4095, 2559 |
| 1365, 853 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8190,5118 By Matching Biggest Common Factor Method
Now, list down the factors of 8190
:1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190
Now, list down the factors of 5118
:1,2,3,6,853,1706,2559,5118
Greatest Common Factor
We found the factors 8190,5118 . The biggest common factor number is the GCF number.
So the greatest common factor 8190,5118 is 6.
Lets's calculate LCM of 110,894
| 2 | 110, 894 |
| 55, 447 |
∴ So the LCM of the given numbers is 2 x 55 x 447 = 49170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/49170
Therefore, the GCF of Fractions 8190/110,5118/894 is 6/49170
Least Common Multiple of 110,894 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 110,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(110,894) x common factors =2 x 1 = 2
LCM(110,894) = ( 110 × 894 ) / 2
LCM(110,894) = 98340 / 2
LCM(110,894) = 49170
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FAQs on GCF of Fractions of 8190/110, 5118/894
1. What is the HCF of 8190,5118?
The HCF of 8190,5118 is 6
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 8190/110, 5118/894?
Answer: GCF of Numerators as per given numbers 8190/110, 5118/894 is
GCF of Numerators i.e. for 8190,5118 is 6
LCM of denominators i.e. for 110,894 is 49170.
Thus, GCF of Fractions is 6/49170.Finally, GCF of Fractions for 8190/110, 5118/894 is 6/49170.