GCF of 5324/497, 9812/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5324/497, 9812/712 i.e 44/353864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5324/497, 9812/712.
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 5324/497,9812/712?
Given fractions are 5324/497,9812/712
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 5324/497,9812/712, numerators are 5324,9812
Denominators are 497,712
The GCF of 5324,9812 is 44 .
LCM of 497,712 is 353864.
The greatest common factor of 5324/497,9812/712 = [GCF of 5324,9812]/[LCM of 497,712]= 44/353864
Therefore, the GCF of 5324/497,9812/712 is 44/353864.
To find the highest common factor of 5324,9812, we have to find the factors of both numbers and list the highest common factor.
The factors of 5324 are 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324
The factors of 9812 are 1, 2, 4, 11, 22, 44, 223, 446, 892, 2453, 4906, 9812
The HCF of 5324,9812 is 44.
Lets's calculate GCF of 5324,9812
| 2 | 5324, 9812 |
| 2 | 2662, 4906 |
| 11 | 1331, 2453 |
| 121, 223 |
∴ So the GCF of the given numbers is 2 x 2 x 11 = 44
Greatest Common Factor of 5324,9812 By Matching Biggest Common Factor Method
Now, list down the factors of 5324
:1,2,4,11,22,44,121,242,484,1331,2662,5324
Now, list down the factors of 9812
:1,2,4,11,22,44,223,446,892,2453,4906,9812
Greatest Common Factor
We found the factors 5324,9812 . The biggest common factor number is the GCF number.
So the greatest common factor 5324,9812 is 44.
Lets's calculate LCM of 497,712
Given numbers has no common factors except 1. So, there LCM is their product i.e 353864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 44/353864
Therefore, the GCF of Fractions 5324/497,9812/712 is 44/353864
Least Common Multiple of 497,712 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 497,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,712) x common factors =1 x 1 = 1
LCM(497,712) = ( 497 × 712 ) / 1
LCM(497,712) = 353864 / 1
LCM(497,712) = 353864
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FAQs on GCF of Fractions of 5324/497, 9812/712
1. What is the HCF of 5324,9812?
The HCF of 5324,9812 is 44
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 5324/497, 9812/712?
Answer: GCF of Numerators as per given numbers 5324/497, 9812/712 is
GCF of Numerators i.e. for 5324,9812 is 44
LCM of denominators i.e. for 497,712 is 353864.
Thus, GCF of Fractions is 44/353864.Finally, GCF of Fractions for 5324/497, 9812/712 is 44/353864.