GCF of 6992/595, 8660/4858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6992/595, 8660/4858 i.e 4/412930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6992/595, 8660/4858.
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 6992/595,8660/4858?
Given fractions are 6992/595,8660/4858
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 6992/595,8660/4858, numerators are 6992,8660
Denominators are 595,4858
The GCF of 6992,8660 is 4 .
LCM of 595,4858 is 412930.
The greatest common factor of 6992/595,8660/4858 = [GCF of 6992,8660]/[LCM of 595,4858]= 4/412930
Therefore, the GCF of 6992/595,8660/4858 is 4/412930.
To find the highest common factor of 6992,8660, we have to find the factors of both numbers and list the highest common factor.
The factors of 6992 are 1, 2, 4, 8, 16, 19, 23, 38, 46, 76, 92, 152, 184, 304, 368, 437, 874, 1748, 3496, 6992
The factors of 8660 are 1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660
The HCF of 6992,8660 is 4.
Lets's calculate GCF of 6992,8660
| 2 | 6992, 8660 |
| 2 | 3496, 4330 |
| 1748, 2165 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6992,8660 By Matching Biggest Common Factor Method
Now, list down the factors of 6992
:1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992
Now, list down the factors of 8660
:1,2,4,5,10,20,433,866,1732,2165,4330,8660
Greatest Common Factor
We found the factors 6992,8660 . The biggest common factor number is the GCF number.
So the greatest common factor 6992,8660 is 4.
Lets's calculate LCM of 595,4858
| 7 | 595, 4858 |
| 85, 694 |
∴ So the LCM of the given numbers is 7 x 85 x 694 = 412930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/412930
Therefore, the GCF of Fractions 6992/595,8660/4858 is 4/412930
Least Common Multiple of 595,4858 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 595,4858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(595,4858) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(595,4858) x common factors =7 x 1 = 7
LCM(595,4858) = ( 595 × 4858 ) / 7
LCM(595,4858) = 2890510 / 7
LCM(595,4858) = 412930
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FAQs on GCF of Fractions of 6992/595, 8660/4858
1. What is the HCF of 6992,8660?
The HCF of 6992,8660 is 4
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 6992/595, 8660/4858?
Answer: GCF of Numerators as per given numbers 6992/595, 8660/4858 is
GCF of Numerators i.e. for 6992,8660 is 4
LCM of denominators i.e. for 595,4858 is 412930.
Thus, GCF of Fractions is 4/412930.Finally, GCF of Fractions for 6992/595, 8660/4858 is 4/412930.