GCF of 9856/682, 9992/5186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9856/682, 9992/5186 i.e 8/1768426 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9856/682, 9992/5186.
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 9856/682,9992/5186?
Given fractions are 9856/682,9992/5186
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 9856/682,9992/5186, numerators are 9856,9992
Denominators are 682,5186
The GCF of 9856,9992 is 8 .
LCM of 682,5186 is 1768426.
The greatest common factor of 9856/682,9992/5186 = [GCF of 9856,9992]/[LCM of 682,5186]= 8/1768426
Therefore, the GCF of 9856/682,9992/5186 is 8/1768426.
To find the highest common factor of 9856,9992, we have to find the factors of both numbers and list the highest common factor.
The factors of 9856 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 128, 154, 176, 224, 308, 352, 448, 616, 704, 896, 1232, 1408, 2464, 4928, 9856
The factors of 9992 are 1, 2, 4, 8, 1249, 2498, 4996, 9992
The HCF of 9856,9992 is 8.
Lets's calculate GCF of 9856,9992
| 2 | 9856, 9992 |
| 2 | 4928, 4996 |
| 2 | 2464, 2498 |
| 1232, 1249 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 9856,9992 By Matching Biggest Common Factor Method
Now, list down the factors of 9856
:1,2,4,7,8,11,14,16,22,28,32,44,56,64,77,88,112,128,154,176,224,308,352,448,616,704,896,1232,1408,2464,4928,9856
Now, list down the factors of 9992
:1,2,4,8,1249,2498,4996,9992
Greatest Common Factor
We found the factors 9856,9992 . The biggest common factor number is the GCF number.
So the greatest common factor 9856,9992 is 8.
Lets's calculate LCM of 682,5186
| 2 | 682, 5186 |
| 341, 2593 |
∴ So the LCM of the given numbers is 2 x 341 x 2593 = 1768426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1768426
Therefore, the GCF of Fractions 9856/682,9992/5186 is 8/1768426
Least Common Multiple of 682,5186 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 682,5186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,5186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,5186) x common factors =2 x 1 = 2
LCM(682,5186) = ( 682 × 5186 ) / 2
LCM(682,5186) = 3536852 / 2
LCM(682,5186) = 1768426
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FAQs on GCF of Fractions of 9856/682, 9992/5186
1. What is the HCF of 9856,9992?
The HCF of 9856,9992 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 9856/682, 9992/5186?
Answer: GCF of Numerators as per given numbers 9856/682, 9992/5186 is
GCF of Numerators i.e. for 9856,9992 is 8
LCM of denominators i.e. for 682,5186 is 1768426.
Thus, GCF of Fractions is 8/1768426.Finally, GCF of Fractions for 9856/682, 9992/5186 is 8/1768426.