GCF of 7929/262, 8499/7359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7929/262, 8499/7359 i.e 3/1928058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7929/262, 8499/7359.
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 7929/262,8499/7359?
Given fractions are 7929/262,8499/7359
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 7929/262,8499/7359, numerators are 7929,8499
Denominators are 262,7359
The GCF of 7929,8499 is 3 .
LCM of 262,7359 is 1928058.
The greatest common factor of 7929/262,8499/7359 = [GCF of 7929,8499]/[LCM of 262,7359]= 3/1928058
Therefore, the GCF of 7929/262,8499/7359 is 3/1928058.
To find the highest common factor of 7929,8499, we have to find the factors of both numbers and list the highest common factor.
The factors of 7929 are 1, 3, 9, 881, 2643, 7929
The factors of 8499 are 1, 3, 2833, 8499
The HCF of 7929,8499 is 3.
Lets's calculate GCF of 7929,8499
| 3 | 7929, 8499 |
| 2643, 2833 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7929,8499 By Matching Biggest Common Factor Method
Now, list down the factors of 7929
:1,3,9,881,2643,7929
Now, list down the factors of 8499
:1,3,2833,8499
Greatest Common Factor
We found the factors 7929,8499 . The biggest common factor number is the GCF number.
So the greatest common factor 7929,8499 is 3.
Lets's calculate LCM of 262,7359
Given numbers has no common factors except 1. So, there LCM is their product i.e 1928058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1928058
Therefore, the GCF of Fractions 7929/262,8499/7359 is 3/1928058
Least Common Multiple of 262,7359 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 262,7359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,7359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(262,7359) x common factors =1 x 1 = 1
LCM(262,7359) = ( 262 × 7359 ) / 1
LCM(262,7359) = 1928058 / 1
LCM(262,7359) = 1928058
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FAQs on GCF of Fractions of 7929/262, 8499/7359
1. What is the HCF of 7929,8499?
The HCF of 7929,8499 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 7929/262, 8499/7359?
Answer: GCF of Numerators as per given numbers 7929/262, 8499/7359 is
GCF of Numerators i.e. for 7929,8499 is 3
LCM of denominators i.e. for 262,7359 is 1928058.
Thus, GCF of Fractions is 3/1928058.Finally, GCF of Fractions for 7929/262, 8499/7359 is 3/1928058.