GCF of 6798/804, 8262/7211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6798/804, 8262/7211 i.e 6/5797644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6798/804, 8262/7211.
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 6798/804,8262/7211?
Given fractions are 6798/804,8262/7211
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 6798/804,8262/7211, numerators are 6798,8262
Denominators are 804,7211
The GCF of 6798,8262 is 6 .
LCM of 804,7211 is 5797644.
The greatest common factor of 6798/804,8262/7211 = [GCF of 6798,8262]/[LCM of 804,7211]= 6/5797644
Therefore, the GCF of 6798/804,8262/7211 is 6/5797644.
To find the highest common factor of 6798,8262, we have to find the factors of both numbers and list the highest common factor.
The factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798
The factors of 8262 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131, 8262
The HCF of 6798,8262 is 6.
Lets's calculate GCF of 6798,8262
| 2 | 6798, 8262 |
| 3 | 3399, 4131 |
| 1133, 1377 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6798,8262 By Matching Biggest Common Factor Method
Now, list down the factors of 6798
:1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798
Now, list down the factors of 8262
:1,2,3,6,9,17,18,27,34,51,54,81,102,153,162,243,306,459,486,918,1377,2754,4131,8262
Greatest Common Factor
We found the factors 6798,8262 . The biggest common factor number is the GCF number.
So the greatest common factor 6798,8262 is 6.
Lets's calculate LCM of 804,7211
Given numbers has no common factors except 1. So, there LCM is their product i.e 5797644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5797644
Therefore, the GCF of Fractions 6798/804,8262/7211 is 6/5797644
Least Common Multiple of 804,7211 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 804,7211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,7211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(804,7211) x common factors =1 x 1 = 1
LCM(804,7211) = ( 804 × 7211 ) / 1
LCM(804,7211) = 5797644 / 1
LCM(804,7211) = 5797644
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FAQs on GCF of Fractions of 6798/804, 8262/7211
1. What is the HCF of 6798,8262?
The HCF of 6798,8262 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 6798/804, 8262/7211?
Answer: GCF of Numerators as per given numbers 6798/804, 8262/7211 is
GCF of Numerators i.e. for 6798,8262 is 6
LCM of denominators i.e. for 804,7211 is 5797644.
Thus, GCF of Fractions is 6/5797644.Finally, GCF of Fractions for 6798/804, 8262/7211 is 6/5797644.