GCF of 7998/874, 6306/6927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7998/874, 6306/6927 i.e 6/6054198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7998/874, 6306/6927.
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 7998/874,6306/6927?
Given fractions are 7998/874,6306/6927
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 7998/874,6306/6927, numerators are 7998,6306
Denominators are 874,6927
The GCF of 7998,6306 is 6 .
LCM of 874,6927 is 6054198.
The greatest common factor of 7998/874,6306/6927 = [GCF of 7998,6306]/[LCM of 874,6927]= 6/6054198
Therefore, the GCF of 7998/874,6306/6927 is 6/6054198.
To find the highest common factor of 7998,6306, we have to find the factors of both numbers and list the highest common factor.
The factors of 7998 are 1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998
The factors of 6306 are 1, 2, 3, 6, 1051, 2102, 3153, 6306
The HCF of 7998,6306 is 6.
Lets's calculate GCF of 7998,6306
| 2 | 7998, 6306 |
| 3 | 3999, 3153 |
| 1333, 1051 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7998,6306 By Matching Biggest Common Factor Method
Now, list down the factors of 7998
:1,2,3,6,31,43,62,86,93,129,186,258,1333,2666,3999,7998
Now, list down the factors of 6306
:1,2,3,6,1051,2102,3153,6306
Greatest Common Factor
We found the factors 7998,6306 . The biggest common factor number is the GCF number.
So the greatest common factor 7998,6306 is 6.
Lets's calculate LCM of 874,6927
Given numbers has no common factors except 1. So, there LCM is their product i.e 6054198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/6054198
Therefore, the GCF of Fractions 7998/874,6306/6927 is 6/6054198
Least Common Multiple of 874,6927 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 874,6927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,6927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,6927) x common factors =1 x 1 = 1
LCM(874,6927) = ( 874 × 6927 ) / 1
LCM(874,6927) = 6054198 / 1
LCM(874,6927) = 6054198
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FAQs on GCF of Fractions of 7998/874, 6306/6927
1. What is the HCF of 7998,6306?
The HCF of 7998,6306 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 7998/874, 6306/6927?
Answer: GCF of Numerators as per given numbers 7998/874, 6306/6927 is
GCF of Numerators i.e. for 7998,6306 is 6
LCM of denominators i.e. for 874,6927 is 6054198.
Thus, GCF of Fractions is 6/6054198.Finally, GCF of Fractions for 7998/874, 6306/6927 is 6/6054198.