GCF of 7899/679, 6288/8642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7899/679, 6288/8642 i.e 3/5867918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7899/679, 6288/8642.
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 7899/679,6288/8642?
Given fractions are 7899/679,6288/8642
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 7899/679,6288/8642, numerators are 7899,6288
Denominators are 679,8642
The GCF of 7899,6288 is 3 .
LCM of 679,8642 is 5867918.
The greatest common factor of 7899/679,6288/8642 = [GCF of 7899,6288]/[LCM of 679,8642]= 3/5867918
Therefore, the GCF of 7899/679,6288/8642 is 3/5867918.
To find the highest common factor of 7899,6288, we have to find the factors of both numbers and list the highest common factor.
The factors of 7899 are 1, 3, 2633, 7899
The factors of 6288 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 6288
The HCF of 7899,6288 is 3.
Lets's calculate GCF of 7899,6288
| 3 | 7899, 6288 |
| 2633, 2096 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7899,6288 By Matching Biggest Common Factor Method
Now, list down the factors of 7899
:1,3,2633,7899
Now, list down the factors of 6288
:1,2,3,4,6,8,12,16,24,48,131,262,393,524,786,1048,1572,2096,3144,6288
Greatest Common Factor
We found the factors 7899,6288 . The biggest common factor number is the GCF number.
So the greatest common factor 7899,6288 is 3.
Lets's calculate LCM of 679,8642
Given numbers has no common factors except 1. So, there LCM is their product i.e 5867918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5867918
Therefore, the GCF of Fractions 7899/679,6288/8642 is 3/5867918
Least Common Multiple of 679,8642 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 679,8642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,8642) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,8642) x common factors =1 x 1 = 1
LCM(679,8642) = ( 679 × 8642 ) / 1
LCM(679,8642) = 5867918 / 1
LCM(679,8642) = 5867918
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FAQs on GCF of Fractions of 7899/679, 6288/8642
1. What is the HCF of 7899,6288?
The HCF of 7899,6288 is 3
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 7899/679, 6288/8642?
Answer: GCF of Numerators as per given numbers 7899/679, 6288/8642 is
GCF of Numerators i.e. for 7899,6288 is 3
LCM of denominators i.e. for 679,8642 is 5867918.
Thus, GCF of Fractions is 3/5867918.Finally, GCF of Fractions for 7899/679, 6288/8642 is 3/5867918.