GCF of 7059/544, 6060/230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7059/544, 6060/230 i.e 3/62560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7059/544, 6060/230.
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 7059/544,6060/230?
Given fractions are 7059/544,6060/230
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 7059/544,6060/230, numerators are 7059,6060
Denominators are 544,230
The GCF of 7059,6060 is 3 .
LCM of 544,230 is 62560.
The greatest common factor of 7059/544,6060/230 = [GCF of 7059,6060]/[LCM of 544,230]= 3/62560
Therefore, the GCF of 7059/544,6060/230 is 3/62560.
To find the highest common factor of 7059,6060, we have to find the factors of both numbers and list the highest common factor.
The factors of 7059 are 1, 3, 13, 39, 181, 543, 2353, 7059
The factors of 6060 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030, 6060
The HCF of 7059,6060 is 3.
Lets's calculate GCF of 7059,6060
| 3 | 7059, 6060 |
| 2353, 2020 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7059,6060 By Matching Biggest Common Factor Method
Now, list down the factors of 7059
:1,3,13,39,181,543,2353,7059
Now, list down the factors of 6060
:1,2,3,4,5,6,10,12,15,20,30,60,101,202,303,404,505,606,1010,1212,1515,2020,3030,6060
Greatest Common Factor
We found the factors 7059,6060 . The biggest common factor number is the GCF number.
So the greatest common factor 7059,6060 is 3.
Lets's calculate LCM of 544,230
| 2 | 544, 230 |
| 272, 115 |
∴ So the LCM of the given numbers is 2 x 272 x 115 = 62560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/62560
Therefore, the GCF of Fractions 7059/544,6060/230 is 3/62560
Least Common Multiple of 544,230 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 544,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(544,230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(544,230) x common factors =2 x 1 = 2
LCM(544,230) = ( 544 × 230 ) / 2
LCM(544,230) = 125120 / 2
LCM(544,230) = 62560
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FAQs on GCF of Fractions of 7059/544, 6060/230
1. What is the HCF of 7059,6060?
The HCF of 7059,6060 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 7059/544, 6060/230?
Answer: GCF of Numerators as per given numbers 7059/544, 6060/230 is
GCF of Numerators i.e. for 7059,6060 is 3
LCM of denominators i.e. for 544,230 is 62560.
Thus, GCF of Fractions is 3/62560.Finally, GCF of Fractions for 7059/544, 6060/230 is 3/62560.