GCF of 9824/269, 7156/579
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9824/269, 7156/579 i.e 4/155751 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9824/269, 7156/579.
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 9824/269,7156/579?
Given fractions are 9824/269,7156/579
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 9824/269,7156/579, numerators are 9824,7156
Denominators are 269,579
The GCF of 9824,7156 is 4 .
LCM of 269,579 is 155751.
The greatest common factor of 9824/269,7156/579 = [GCF of 9824,7156]/[LCM of 269,579]= 4/155751
Therefore, the GCF of 9824/269,7156/579 is 4/155751.
To find the highest common factor of 9824,7156, we have to find the factors of both numbers and list the highest common factor.
The factors of 9824 are 1, 2, 4, 8, 16, 32, 307, 614, 1228, 2456, 4912, 9824
The factors of 7156 are 1, 2, 4, 1789, 3578, 7156
The HCF of 9824,7156 is 4.
Lets's calculate GCF of 9824,7156
| 2 | 9824, 7156 |
| 2 | 4912, 3578 |
| 2456, 1789 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9824,7156 By Matching Biggest Common Factor Method
Now, list down the factors of 9824
:1,2,4,8,16,32,307,614,1228,2456,4912,9824
Now, list down the factors of 7156
:1,2,4,1789,3578,7156
Greatest Common Factor
We found the factors 9824,7156 . The biggest common factor number is the GCF number.
So the greatest common factor 9824,7156 is 4.
Lets's calculate LCM of 269,579
Given numbers has no common factors except 1. So, there LCM is their product i.e 155751
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/155751
Therefore, the GCF of Fractions 9824/269,7156/579 is 4/155751
Least Common Multiple of 269,579 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 269,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,579) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,579) x common factors =1 x 1 = 1
LCM(269,579) = ( 269 × 579 ) / 1
LCM(269,579) = 155751 / 1
LCM(269,579) = 155751
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FAQs on GCF of Fractions of 9824/269, 7156/579
1. What is the HCF of 9824,7156?
The HCF of 9824,7156 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 9824/269, 7156/579?
Answer: GCF of Numerators as per given numbers 9824/269, 7156/579 is
GCF of Numerators i.e. for 9824,7156 is 4
LCM of denominators i.e. for 269,579 is 155751.
Thus, GCF of Fractions is 4/155751.Finally, GCF of Fractions for 9824/269, 7156/579 is 4/155751.