GCF of 5859/825, 3407/9849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5859/825, 3407/9849 i.e 1/2708475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5859/825, 3407/9849.
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 5859/825,3407/9849?
Given fractions are 5859/825,3407/9849
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 5859/825,3407/9849, numerators are 5859,3407
Denominators are 825,9849
The GCF of 5859,3407 is 1 .
LCM of 825,9849 is 2708475.
The greatest common factor of 5859/825,3407/9849 = [GCF of 5859,3407]/[LCM of 825,9849]= 1/2708475
Therefore, the GCF of 5859/825,3407/9849 is 1/2708475.
To find the highest common factor of 5859,3407, we have to find the factors of both numbers and list the highest common factor.
The factors of 5859 are 1, 3, 7, 9, 21, 27, 31, 63, 93, 189, 217, 279, 651, 837, 1953, 5859
The factors of 3407 are 1, 3407
The HCF of 5859,3407 is 1.
Lets's calculate GCF of 5859,3407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5859,3407 By Matching Biggest Common Factor Method
Now, list down the factors of 5859
:1,3,7,9,21,27,31,63,93,189,217,279,651,837,1953,5859
Now, list down the factors of 3407
:1,3407
Greatest Common Factor
We found the factors 5859,3407 . The biggest common factor number is the GCF number.
So the greatest common factor 5859,3407 is 1.
Lets's calculate LCM of 825,9849
| 3 | 825, 9849 |
| 275, 3283 |
∴ So the LCM of the given numbers is 3 x 275 x 3283 = 2708475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2708475
Therefore, the GCF of Fractions 5859/825,3407/9849 is 1/2708475
Least Common Multiple of 825,9849 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 825,9849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,9849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(825,9849) x common factors =3 x 1 = 3
LCM(825,9849) = ( 825 × 9849 ) / 3
LCM(825,9849) = 8125425 / 3
LCM(825,9849) = 2708475
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FAQs on GCF of Fractions of 5859/825, 3407/9849
1. What is the HCF of 5859,3407?
The HCF of 5859,3407 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 5859/825, 3407/9849?
Answer: GCF of Numerators as per given numbers 5859/825, 3407/9849 is
GCF of Numerators i.e. for 5859,3407 is 1
LCM of denominators i.e. for 825,9849 is 2708475.
Thus, GCF of Fractions is 1/2708475.Finally, GCF of Fractions for 5859/825, 3407/9849 is 1/2708475.