GCF of 6270/162, 8056/2035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6270/162, 8056/2035 i.e 38/329670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6270/162, 8056/2035.
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 6270/162,8056/2035?
Given fractions are 6270/162,8056/2035
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 6270/162,8056/2035, numerators are 6270,8056
Denominators are 162,2035
The GCF of 6270,8056 is 38 .
LCM of 162,2035 is 329670.
The greatest common factor of 6270/162,8056/2035 = [GCF of 6270,8056]/[LCM of 162,2035]= 38/329670
Therefore, the GCF of 6270/162,8056/2035 is 38/329670.
To find the highest common factor of 6270,8056, we have to find the factors of both numbers and list the highest common factor.
The factors of 6270 are 1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270
The factors of 8056 are 1, 2, 4, 8, 19, 38, 53, 76, 106, 152, 212, 424, 1007, 2014, 4028, 8056
The HCF of 6270,8056 is 38.
Lets's calculate GCF of 6270,8056
| 2 | 6270, 8056 |
| 19 | 3135, 4028 |
| 165, 212 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Greatest Common Factor of 6270,8056 By Matching Biggest Common Factor Method
Now, list down the factors of 6270
:1,2,3,5,6,10,11,15,19,22,30,33,38,55,57,66,95,110,114,165,190,209,285,330,418,570,627,1045,1254,2090,3135,6270
Now, list down the factors of 8056
:1,2,4,8,19,38,53,76,106,152,212,424,1007,2014,4028,8056
Greatest Common Factor
We found the factors 6270,8056 . The biggest common factor number is the GCF number.
So the greatest common factor 6270,8056 is 38.
Lets's calculate LCM of 162,2035
Given numbers has no common factors except 1. So, there LCM is their product i.e 329670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/329670
Therefore, the GCF of Fractions 6270/162,8056/2035 is 38/329670
Least Common Multiple of 162,2035 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 162,2035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,2035) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(162,2035) x common factors =1 x 1 = 1
LCM(162,2035) = ( 162 × 2035 ) / 1
LCM(162,2035) = 329670 / 1
LCM(162,2035) = 329670
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FAQs on GCF of Fractions of 6270/162, 8056/2035
1. What is the HCF of 6270,8056?
The HCF of 6270,8056 is 38
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 6270/162, 8056/2035?
Answer: GCF of Numerators as per given numbers 6270/162, 8056/2035 is
GCF of Numerators i.e. for 6270,8056 is 38
LCM of denominators i.e. for 162,2035 is 329670.
Thus, GCF of Fractions is 38/329670.Finally, GCF of Fractions for 6270/162, 8056/2035 is 38/329670.