GCF of 6180/349, 1510/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6180/349, 1510/105 i.e 10/36645 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6180/349, 1510/105.
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 6180/349,1510/105?
Given fractions are 6180/349,1510/105
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 6180/349,1510/105, numerators are 6180,1510
Denominators are 349,105
The GCF of 6180,1510 is 10 .
LCM of 349,105 is 36645.
The greatest common factor of 6180/349,1510/105 = [GCF of 6180,1510]/[LCM of 349,105]= 10/36645
Therefore, the GCF of 6180/349,1510/105 is 10/36645.
To find the highest common factor of 6180,1510, we have to find the factors of both numbers and list the highest common factor.
The factors of 6180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 103, 206, 309, 412, 515, 618, 1030, 1236, 1545, 2060, 3090, 6180
The factors of 1510 are 1, 2, 5, 10, 151, 302, 755, 1510
The HCF of 6180,1510 is 10.
Lets's calculate GCF of 6180,1510
| 2 | 6180, 1510 |
| 5 | 3090, 755 |
| 618, 151 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 6180,1510 By Matching Biggest Common Factor Method
Now, list down the factors of 6180
:1,2,3,4,5,6,10,12,15,20,30,60,103,206,309,412,515,618,1030,1236,1545,2060,3090,6180
Now, list down the factors of 1510
:1,2,5,10,151,302,755,1510
Greatest Common Factor
We found the factors 6180,1510 . The biggest common factor number is the GCF number.
So the greatest common factor 6180,1510 is 10.
Lets's calculate LCM of 349,105
Given numbers has no common factors except 1. So, there LCM is their product i.e 36645
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/36645
Therefore, the GCF of Fractions 6180/349,1510/105 is 10/36645
Least Common Multiple of 349,105 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 349,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,105) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,105) x common factors =1 x 1 = 1
LCM(349,105) = ( 349 × 105 ) / 1
LCM(349,105) = 36645 / 1
LCM(349,105) = 36645
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FAQs on GCF of Fractions of 6180/349, 1510/105
1. What is the HCF of 6180,1510?
The HCF of 6180,1510 is 10
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 6180/349, 1510/105?
Answer: GCF of Numerators as per given numbers 6180/349, 1510/105 is
GCF of Numerators i.e. for 6180,1510 is 10
LCM of denominators i.e. for 349,105 is 36645.
Thus, GCF of Fractions is 10/36645.Finally, GCF of Fractions for 6180/349, 1510/105 is 10/36645.