GCF of 9499/669, 8064/4292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9499/669, 8064/4292 i.e 7/2871348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9499/669, 8064/4292.
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 9499/669,8064/4292?
Given fractions are 9499/669,8064/4292
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 9499/669,8064/4292, numerators are 9499,8064
Denominators are 669,4292
The GCF of 9499,8064 is 7 .
LCM of 669,4292 is 2871348.
The greatest common factor of 9499/669,8064/4292 = [GCF of 9499,8064]/[LCM of 669,4292]= 7/2871348
Therefore, the GCF of 9499/669,8064/4292 is 7/2871348.
To find the highest common factor of 9499,8064, we have to find the factors of both numbers and list the highest common factor.
The factors of 9499 are 1, 7, 23, 59, 161, 413, 1357, 9499
The factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064
The HCF of 9499,8064 is 7.
Lets's calculate GCF of 9499,8064
| 7 | 9499, 8064 |
| 1357, 1152 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9499,8064 By Matching Biggest Common Factor Method
Now, list down the factors of 9499
:1,7,23,59,161,413,1357,9499
Now, list down the factors of 8064
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064
Greatest Common Factor
We found the factors 9499,8064 . The biggest common factor number is the GCF number.
So the greatest common factor 9499,8064 is 7.
Lets's calculate LCM of 669,4292
Given numbers has no common factors except 1. So, there LCM is their product i.e 2871348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2871348
Therefore, the GCF of Fractions 9499/669,8064/4292 is 7/2871348
Least Common Multiple of 669,4292 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 669,4292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,4292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(669,4292) x common factors =1 x 1 = 1
LCM(669,4292) = ( 669 × 4292 ) / 1
LCM(669,4292) = 2871348 / 1
LCM(669,4292) = 2871348
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FAQs on GCF of Fractions of 9499/669, 8064/4292
1. What is the HCF of 9499,8064?
The HCF of 9499,8064 is 7
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 9499/669, 8064/4292?
Answer: GCF of Numerators as per given numbers 9499/669, 8064/4292 is
GCF of Numerators i.e. for 9499,8064 is 7
LCM of denominators i.e. for 669,4292 is 2871348.
Thus, GCF of Fractions is 7/2871348.Finally, GCF of Fractions for 9499/669, 8064/4292 is 7/2871348.