GCF of 5686/804, 1459/3422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5686/804, 1459/3422 i.e 1/1375644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5686/804, 1459/3422.
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 5686/804,1459/3422?
Given fractions are 5686/804,1459/3422
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 5686/804,1459/3422, numerators are 5686,1459
Denominators are 804,3422
The GCF of 5686,1459 is 1 .
LCM of 804,3422 is 1375644.
The greatest common factor of 5686/804,1459/3422 = [GCF of 5686,1459]/[LCM of 804,3422]= 1/1375644
Therefore, the GCF of 5686/804,1459/3422 is 1/1375644.
To find the highest common factor of 5686,1459, we have to find the factors of both numbers and list the highest common factor.
The factors of 5686 are 1, 2, 2843, 5686
The factors of 1459 are 1, 1459
The HCF of 5686,1459 is 1.
Lets's calculate GCF of 5686,1459
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5686,1459 By Matching Biggest Common Factor Method
Now, list down the factors of 5686
:1,2,2843,5686
Now, list down the factors of 1459
:1,1459
Greatest Common Factor
We found the factors 5686,1459 . The biggest common factor number is the GCF number.
So the greatest common factor 5686,1459 is 1.
Lets's calculate LCM of 804,3422
| 2 | 804, 3422 |
| 402, 1711 |
∴ So the LCM of the given numbers is 2 x 402 x 1711 = 1375644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1375644
Therefore, the GCF of Fractions 5686/804,1459/3422 is 1/1375644
Least Common Multiple of 804,3422 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 804,3422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,3422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(804,3422) x common factors =2 x 1 = 2
LCM(804,3422) = ( 804 × 3422 ) / 2
LCM(804,3422) = 2751288 / 2
LCM(804,3422) = 1375644
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FAQs on GCF of Fractions of 5686/804, 1459/3422
1. What is the HCF of 5686,1459?
The HCF of 5686,1459 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 5686/804, 1459/3422?
Answer: GCF of Numerators as per given numbers 5686/804, 1459/3422 is
GCF of Numerators i.e. for 5686,1459 is 1
LCM of denominators i.e. for 804,3422 is 1375644.
Thus, GCF of Fractions is 1/1375644.Finally, GCF of Fractions for 5686/804, 1459/3422 is 1/1375644.