GCF of 8256/283, 7182/6198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8256/283, 7182/6198 i.e 6/1754034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8256/283, 7182/6198.
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 8256/283,7182/6198?
Given fractions are 8256/283,7182/6198
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 8256/283,7182/6198, numerators are 8256,7182
Denominators are 283,6198
The GCF of 8256,7182 is 6 .
LCM of 283,6198 is 1754034.
The greatest common factor of 8256/283,7182/6198 = [GCF of 8256,7182]/[LCM of 283,6198]= 6/1754034
Therefore, the GCF of 8256/283,7182/6198 is 6/1754034.
To find the highest common factor of 8256,7182, we have to find the factors of both numbers and list the highest common factor.
The factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256
The factors of 7182 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182
The HCF of 8256,7182 is 6.
Lets's calculate GCF of 8256,7182
| 2 | 8256, 7182 |
| 3 | 4128, 3591 |
| 1376, 1197 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8256,7182 By Matching Biggest Common Factor Method
Now, list down the factors of 8256
:1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256
Now, list down the factors of 7182
:1,2,3,6,7,9,14,18,19,21,27,38,42,54,57,63,114,126,133,171,189,266,342,378,399,513,798,1026,1197,2394,3591,7182
Greatest Common Factor
We found the factors 8256,7182 . The biggest common factor number is the GCF number.
So the greatest common factor 8256,7182 is 6.
Lets's calculate LCM of 283,6198
Given numbers has no common factors except 1. So, there LCM is their product i.e 1754034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1754034
Therefore, the GCF of Fractions 8256/283,7182/6198 is 6/1754034
Least Common Multiple of 283,6198 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 283,6198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(283,6198) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(283,6198) x common factors =1 x 1 = 1
LCM(283,6198) = ( 283 × 6198 ) / 1
LCM(283,6198) = 1754034 / 1
LCM(283,6198) = 1754034
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FAQs on GCF of Fractions of 8256/283, 7182/6198
1. What is the HCF of 8256,7182?
The HCF of 8256,7182 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 8256/283, 7182/6198?
Answer: GCF of Numerators as per given numbers 8256/283, 7182/6198 is
GCF of Numerators i.e. for 8256,7182 is 6
LCM of denominators i.e. for 283,6198 is 1754034.
Thus, GCF of Fractions is 6/1754034.Finally, GCF of Fractions for 8256/283, 7182/6198 is 6/1754034.