GCF of 8094/258, 3420/1868
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8094/258, 3420/1868 i.e 114/240972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8094/258, 3420/1868.
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 8094/258,3420/1868?
Given fractions are 8094/258,3420/1868
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 8094/258,3420/1868, numerators are 8094,3420
Denominators are 258,1868
The GCF of 8094,3420 is 114 .
LCM of 258,1868 is 240972.
The greatest common factor of 8094/258,3420/1868 = [GCF of 8094,3420]/[LCM of 258,1868]= 114/240972
Therefore, the GCF of 8094/258,3420/1868 is 114/240972.
To find the highest common factor of 8094,3420, we have to find the factors of both numbers and list the highest common factor.
The factors of 8094 are 1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094
The factors of 3420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420
The HCF of 8094,3420 is 114.
Lets's calculate GCF of 8094,3420
| 2 | 8094, 3420 |
| 3 | 4047, 1710 |
| 19 | 1349, 570 |
| 71, 30 |
∴ So the GCF of the given numbers is 2 x 3 x 19 = 114
Greatest Common Factor of 8094,3420 By Matching Biggest Common Factor Method
Now, list down the factors of 8094
:1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094
Now, list down the factors of 3420
:1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420
Greatest Common Factor
We found the factors 8094,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 8094,3420 is 114.
Lets's calculate LCM of 258,1868
| 2 | 258, 1868 |
| 129, 934 |
∴ So the LCM of the given numbers is 2 x 129 x 934 = 240972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 114/240972
Therefore, the GCF of Fractions 8094/258,3420/1868 is 114/240972
Least Common Multiple of 258,1868 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 258,1868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,1868) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,1868) x common factors =2 x 1 = 2
LCM(258,1868) = ( 258 × 1868 ) / 2
LCM(258,1868) = 481944 / 2
LCM(258,1868) = 240972
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FAQs on GCF of Fractions of 8094/258, 3420/1868
1. What is the HCF of 8094,3420?
The HCF of 8094,3420 is 114
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 8094/258, 3420/1868?
Answer: GCF of Numerators as per given numbers 8094/258, 3420/1868 is
GCF of Numerators i.e. for 8094,3420 is 114
LCM of denominators i.e. for 258,1868 is 240972.
Thus, GCF of Fractions is 114/240972.Finally, GCF of Fractions for 8094/258, 3420/1868 is 114/240972.