GCF of 8028/322, 6188/1306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8028/322, 6188/1306 i.e 4/210266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8028/322, 6188/1306.
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 8028/322,6188/1306?
Given fractions are 8028/322,6188/1306
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 8028/322,6188/1306, numerators are 8028,6188
Denominators are 322,1306
The GCF of 8028,6188 is 4 .
LCM of 322,1306 is 210266.
The greatest common factor of 8028/322,6188/1306 = [GCF of 8028,6188]/[LCM of 322,1306]= 4/210266
Therefore, the GCF of 8028/322,6188/1306 is 4/210266.
To find the highest common factor of 8028,6188, we have to find the factors of both numbers and list the highest common factor.
The factors of 8028 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 223, 446, 669, 892, 1338, 2007, 2676, 4014, 8028
The factors of 6188 are 1, 2, 4, 7, 13, 14, 17, 26, 28, 34, 52, 68, 91, 119, 182, 221, 238, 364, 442, 476, 884, 1547, 3094, 6188
The HCF of 8028,6188 is 4.
Lets's calculate GCF of 8028,6188
| 2 | 8028, 6188 |
| 2 | 4014, 3094 |
| 2007, 1547 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8028,6188 By Matching Biggest Common Factor Method
Now, list down the factors of 8028
:1,2,3,4,6,9,12,18,36,223,446,669,892,1338,2007,2676,4014,8028
Now, list down the factors of 6188
:1,2,4,7,13,14,17,26,28,34,52,68,91,119,182,221,238,364,442,476,884,1547,3094,6188
Greatest Common Factor
We found the factors 8028,6188 . The biggest common factor number is the GCF number.
So the greatest common factor 8028,6188 is 4.
Lets's calculate LCM of 322,1306
| 2 | 322, 1306 |
| 161, 653 |
∴ So the LCM of the given numbers is 2 x 161 x 653 = 210266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/210266
Therefore, the GCF of Fractions 8028/322,6188/1306 is 4/210266
Least Common Multiple of 322,1306 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 322,1306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,1306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,1306) x common factors =2 x 1 = 2
LCM(322,1306) = ( 322 × 1306 ) / 2
LCM(322,1306) = 420532 / 2
LCM(322,1306) = 210266
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FAQs on GCF of Fractions of 8028/322, 6188/1306
1. What is the HCF of 8028,6188?
The HCF of 8028,6188 is 4
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 8028/322, 6188/1306?
Answer: GCF of Numerators as per given numbers 8028/322, 6188/1306 is
GCF of Numerators i.e. for 8028,6188 is 4
LCM of denominators i.e. for 322,1306 is 210266.
Thus, GCF of Fractions is 4/210266.Finally, GCF of Fractions for 8028/322, 6188/1306 is 4/210266.