GCF of 5859/553, 7341/5403
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5859/553, 7341/5403 i.e 3/2987859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5859/553, 7341/5403.
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 5859/553,7341/5403?
Given fractions are 5859/553,7341/5403
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 5859/553,7341/5403, numerators are 5859,7341
Denominators are 553,5403
The GCF of 5859,7341 is 3 .
LCM of 553,5403 is 2987859.
The greatest common factor of 5859/553,7341/5403 = [GCF of 5859,7341]/[LCM of 553,5403]= 3/2987859
Therefore, the GCF of 5859/553,7341/5403 is 3/2987859.
To find the highest common factor of 5859,7341, 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 7341 are 1, 3, 2447, 7341
The HCF of 5859,7341 is 3.
Lets's calculate GCF of 5859,7341
| 3 | 5859, 7341 |
| 1953, 2447 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5859,7341 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 7341
:1,3,2447,7341
Greatest Common Factor
We found the factors 5859,7341 . The biggest common factor number is the GCF number.
So the greatest common factor 5859,7341 is 3.
Lets's calculate LCM of 553,5403
Given numbers has no common factors except 1. So, there LCM is their product i.e 2987859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2987859
Therefore, the GCF of Fractions 5859/553,7341/5403 is 3/2987859
Least Common Multiple of 553,5403 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 553,5403 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,5403) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,5403) x common factors =1 x 1 = 1
LCM(553,5403) = ( 553 × 5403 ) / 1
LCM(553,5403) = 2987859 / 1
LCM(553,5403) = 2987859
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FAQs on GCF of Fractions of 5859/553, 7341/5403
1. What is the HCF of 5859,7341?
The HCF of 5859,7341 is 3
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 5859/553, 7341/5403?
Answer: GCF of Numerators as per given numbers 5859/553, 7341/5403 is
GCF of Numerators i.e. for 5859,7341 is 3
LCM of denominators i.e. for 553,5403 is 2987859.
Thus, GCF of Fractions is 3/2987859.Finally, GCF of Fractions for 5859/553, 7341/5403 is 3/2987859.