GCF of 6181/560, 5160/3314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6181/560, 5160/3314 i.e 1/927920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6181/560, 5160/3314.
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 6181/560,5160/3314?
Given fractions are 6181/560,5160/3314
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 6181/560,5160/3314, numerators are 6181,5160
Denominators are 560,3314
The GCF of 6181,5160 is 1 .
LCM of 560,3314 is 927920.
The greatest common factor of 6181/560,5160/3314 = [GCF of 6181,5160]/[LCM of 560,3314]= 1/927920
Therefore, the GCF of 6181/560,5160/3314 is 1/927920.
To find the highest common factor of 6181,5160, we have to find the factors of both numbers and list the highest common factor.
The factors of 6181 are 1, 7, 883, 6181
The factors of 5160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 43, 60, 86, 120, 129, 172, 215, 258, 344, 430, 516, 645, 860, 1032, 1290, 1720, 2580, 5160
The HCF of 6181,5160 is 1.
Lets's calculate GCF of 6181,5160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6181,5160 By Matching Biggest Common Factor Method
Now, list down the factors of 6181
:1,7,883,6181
Now, list down the factors of 5160
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,43,60,86,120,129,172,215,258,344,430,516,645,860,1032,1290,1720,2580,5160
Greatest Common Factor
We found the factors 6181,5160 . The biggest common factor number is the GCF number.
So the greatest common factor 6181,5160 is 1.
Lets's calculate LCM of 560,3314
| 2 | 560, 3314 |
| 280, 1657 |
∴ So the LCM of the given numbers is 2 x 280 x 1657 = 927920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/927920
Therefore, the GCF of Fractions 6181/560,5160/3314 is 1/927920
Least Common Multiple of 560,3314 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 560,3314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,3314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(560,3314) x common factors =2 x 1 = 2
LCM(560,3314) = ( 560 × 3314 ) / 2
LCM(560,3314) = 1855840 / 2
LCM(560,3314) = 927920
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FAQs on GCF of Fractions of 6181/560, 5160/3314
1. What is the HCF of 6181,5160?
The HCF of 6181,5160 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 6181/560, 5160/3314?
Answer: GCF of Numerators as per given numbers 6181/560, 5160/3314 is
GCF of Numerators i.e. for 6181,5160 is 1
LCM of denominators i.e. for 560,3314 is 927920.
Thus, GCF of Fractions is 1/927920.Finally, GCF of Fractions for 6181/560, 5160/3314 is 1/927920.