GCF of 5955/115, 1810/1559
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5955/115, 1810/1559 i.e 5/179285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5955/115, 1810/1559.
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 5955/115,1810/1559?
Given fractions are 5955/115,1810/1559
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 5955/115,1810/1559, numerators are 5955,1810
Denominators are 115,1559
The GCF of 5955,1810 is 5 .
LCM of 115,1559 is 179285.
The greatest common factor of 5955/115,1810/1559 = [GCF of 5955,1810]/[LCM of 115,1559]= 5/179285
Therefore, the GCF of 5955/115,1810/1559 is 5/179285.
To find the highest common factor of 5955,1810, we have to find the factors of both numbers and list the highest common factor.
The factors of 5955 are 1, 3, 5, 15, 397, 1191, 1985, 5955
The factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810
The HCF of 5955,1810 is 5.
Lets's calculate GCF of 5955,1810
| 5 | 5955, 1810 |
| 1191, 362 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5955,1810 By Matching Biggest Common Factor Method
Now, list down the factors of 5955
:1,3,5,15,397,1191,1985,5955
Now, list down the factors of 1810
:1,2,5,10,181,362,905,1810
Greatest Common Factor
We found the factors 5955,1810 . The biggest common factor number is the GCF number.
So the greatest common factor 5955,1810 is 5.
Lets's calculate LCM of 115,1559
Given numbers has no common factors except 1. So, there LCM is their product i.e 179285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/179285
Therefore, the GCF of Fractions 5955/115,1810/1559 is 5/179285
Least Common Multiple of 115,1559 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 115,1559 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,1559) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,1559) x common factors =1 x 1 = 1
LCM(115,1559) = ( 115 × 1559 ) / 1
LCM(115,1559) = 179285 / 1
LCM(115,1559) = 179285
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FAQs on GCF of Fractions of 5955/115, 1810/1559
1. What is the HCF of 5955,1810?
The HCF of 5955,1810 is 5
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 5955/115, 1810/1559?
Answer: GCF of Numerators as per given numbers 5955/115, 1810/1559 is
GCF of Numerators i.e. for 5955,1810 is 5
LCM of denominators i.e. for 115,1559 is 179285.
Thus, GCF of Fractions is 5/179285.Finally, GCF of Fractions for 5955/115, 1810/1559 is 5/179285.