GCF of 7832/206, 4008/3417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7832/206, 4008/3417 i.e 8/703902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7832/206, 4008/3417.
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 7832/206,4008/3417?
Given fractions are 7832/206,4008/3417
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 7832/206,4008/3417, numerators are 7832,4008
Denominators are 206,3417
The GCF of 7832,4008 is 8 .
LCM of 206,3417 is 703902.
The greatest common factor of 7832/206,4008/3417 = [GCF of 7832,4008]/[LCM of 206,3417]= 8/703902
Therefore, the GCF of 7832/206,4008/3417 is 8/703902.
To find the highest common factor of 7832,4008, we have to find the factors of both numbers and list the highest common factor.
The factors of 7832 are 1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832
The factors of 4008 are 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008
The HCF of 7832,4008 is 8.
Lets's calculate GCF of 7832,4008
| 2 | 7832, 4008 |
| 2 | 3916, 2004 |
| 2 | 1958, 1002 |
| 979, 501 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7832,4008 By Matching Biggest Common Factor Method
Now, list down the factors of 7832
:1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832
Now, list down the factors of 4008
:1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008
Greatest Common Factor
We found the factors 7832,4008 . The biggest common factor number is the GCF number.
So the greatest common factor 7832,4008 is 8.
Lets's calculate LCM of 206,3417
Given numbers has no common factors except 1. So, there LCM is their product i.e 703902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/703902
Therefore, the GCF of Fractions 7832/206,4008/3417 is 8/703902
Least Common Multiple of 206,3417 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 206,3417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,3417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(206,3417) x common factors =1 x 1 = 1
LCM(206,3417) = ( 206 × 3417 ) / 1
LCM(206,3417) = 703902 / 1
LCM(206,3417) = 703902
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FAQs on GCF of Fractions of 7832/206, 4008/3417
1. What is the HCF of 7832,4008?
The HCF of 7832,4008 is 8
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 7832/206, 4008/3417?
Answer: GCF of Numerators as per given numbers 7832/206, 4008/3417 is
GCF of Numerators i.e. for 7832,4008 is 8
LCM of denominators i.e. for 206,3417 is 703902.
Thus, GCF of Fractions is 8/703902.Finally, GCF of Fractions for 7832/206, 4008/3417 is 8/703902.