GCF of 5111/804, 9926/3446
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5111/804, 9926/3446 i.e 1/1385292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5111/804, 9926/3446.
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 5111/804,9926/3446?
Given fractions are 5111/804,9926/3446
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 5111/804,9926/3446, numerators are 5111,9926
Denominators are 804,3446
The GCF of 5111,9926 is 1 .
LCM of 804,3446 is 1385292.
The greatest common factor of 5111/804,9926/3446 = [GCF of 5111,9926]/[LCM of 804,3446]= 1/1385292
Therefore, the GCF of 5111/804,9926/3446 is 1/1385292.
To find the highest common factor of 5111,9926, we have to find the factors of both numbers and list the highest common factor.
The factors of 5111 are 1, 19, 269, 5111
The factors of 9926 are 1, 2, 7, 14, 709, 1418, 4963, 9926
The HCF of 5111,9926 is 1.
Lets's calculate GCF of 5111,9926
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5111,9926 By Matching Biggest Common Factor Method
Now, list down the factors of 5111
:1,19,269,5111
Now, list down the factors of 9926
:1,2,7,14,709,1418,4963,9926
Greatest Common Factor
We found the factors 5111,9926 . The biggest common factor number is the GCF number.
So the greatest common factor 5111,9926 is 1.
Lets's calculate LCM of 804,3446
| 2 | 804, 3446 |
| 402, 1723 |
∴ So the LCM of the given numbers is 2 x 402 x 1723 = 1385292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1385292
Therefore, the GCF of Fractions 5111/804,9926/3446 is 1/1385292
Least Common Multiple of 804,3446 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 804,3446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,3446) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(804,3446) x common factors =2 x 1 = 2
LCM(804,3446) = ( 804 × 3446 ) / 2
LCM(804,3446) = 2770584 / 2
LCM(804,3446) = 1385292
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FAQs on GCF of Fractions of 5111/804, 9926/3446
1. What is the HCF of 5111,9926?
The HCF of 5111,9926 is 1
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 5111/804, 9926/3446?
Answer: GCF of Numerators as per given numbers 5111/804, 9926/3446 is
GCF of Numerators i.e. for 5111,9926 is 1
LCM of denominators i.e. for 804,3446 is 1385292.
Thus, GCF of Fractions is 1/1385292.Finally, GCF of Fractions for 5111/804, 9926/3446 is 1/1385292.