GCF of 9704/517, 2638/9273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9704/517, 2638/9273 i.e 2/435831 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9704/517, 2638/9273.
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 9704/517,2638/9273?
Given fractions are 9704/517,2638/9273
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 9704/517,2638/9273, numerators are 9704,2638
Denominators are 517,9273
The GCF of 9704,2638 is 2 .
LCM of 517,9273 is 435831.
The greatest common factor of 9704/517,2638/9273 = [GCF of 9704,2638]/[LCM of 517,9273]= 2/435831
Therefore, the GCF of 9704/517,2638/9273 is 2/435831.
To find the highest common factor of 9704,2638, we have to find the factors of both numbers and list the highest common factor.
The factors of 9704 are 1, 2, 4, 8, 1213, 2426, 4852, 9704
The factors of 2638 are 1, 2, 1319, 2638
The HCF of 9704,2638 is 2.
Lets's calculate GCF of 9704,2638
| 2 | 9704, 2638 |
| 4852, 1319 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9704,2638 By Matching Biggest Common Factor Method
Now, list down the factors of 9704
:1,2,4,8,1213,2426,4852,9704
Now, list down the factors of 2638
:1,2,1319,2638
Greatest Common Factor
We found the factors 9704,2638 . The biggest common factor number is the GCF number.
So the greatest common factor 9704,2638 is 2.
Lets's calculate LCM of 517,9273
| 11 | 517, 9273 |
| 47, 843 |
∴ So the LCM of the given numbers is 11 x 47 x 843 = 435831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/435831
Therefore, the GCF of Fractions 9704/517,2638/9273 is 2/435831
Least Common Multiple of 517,9273 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 517,9273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(517,9273) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(517,9273) x common factors =11 x 1 = 11
LCM(517,9273) = ( 517 × 9273 ) / 11
LCM(517,9273) = 4794141 / 11
LCM(517,9273) = 435831
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FAQs on GCF of Fractions of 9704/517, 2638/9273
1. What is the HCF of 9704,2638?
The HCF of 9704,2638 is 2
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 9704/517, 2638/9273?
Answer: GCF of Numerators as per given numbers 9704/517, 2638/9273 is
GCF of Numerators i.e. for 9704,2638 is 2
LCM of denominators i.e. for 517,9273 is 435831.
Thus, GCF of Fractions is 2/435831.Finally, GCF of Fractions for 9704/517, 2638/9273 is 2/435831.