GCF of 6038/560, 6285/6165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6038/560, 6285/6165 i.e 1/690480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6038/560, 6285/6165.
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 6038/560,6285/6165?
Given fractions are 6038/560,6285/6165
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 6038/560,6285/6165, numerators are 6038,6285
Denominators are 560,6165
The GCF of 6038,6285 is 1 .
LCM of 560,6165 is 690480.
The greatest common factor of 6038/560,6285/6165 = [GCF of 6038,6285]/[LCM of 560,6165]= 1/690480
Therefore, the GCF of 6038/560,6285/6165 is 1/690480.
To find the highest common factor of 6038,6285, we have to find the factors of both numbers and list the highest common factor.
The factors of 6038 are 1, 2, 3019, 6038
The factors of 6285 are 1, 3, 5, 15, 419, 1257, 2095, 6285
The HCF of 6038,6285 is 1.
Lets's calculate GCF of 6038,6285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6038,6285 By Matching Biggest Common Factor Method
Now, list down the factors of 6038
:1,2,3019,6038
Now, list down the factors of 6285
:1,3,5,15,419,1257,2095,6285
Greatest Common Factor
We found the factors 6038,6285 . The biggest common factor number is the GCF number.
So the greatest common factor 6038,6285 is 1.
Lets's calculate LCM of 560,6165
| 5 | 560, 6165 |
| 112, 1233 |
∴ So the LCM of the given numbers is 5 x 112 x 1233 = 690480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/690480
Therefore, the GCF of Fractions 6038/560,6285/6165 is 1/690480
Least Common Multiple of 560,6165 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 560,6165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,6165) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(560,6165) x common factors =5 x 1 = 5
LCM(560,6165) = ( 560 × 6165 ) / 5
LCM(560,6165) = 3452400 / 5
LCM(560,6165) = 690480
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FAQs on GCF of Fractions of 6038/560, 6285/6165
1. What is the HCF of 6038,6285?
The HCF of 6038,6285 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 6038/560, 6285/6165?
Answer: GCF of Numerators as per given numbers 6038/560, 6285/6165 is
GCF of Numerators i.e. for 6038,6285 is 1
LCM of denominators i.e. for 560,6165 is 690480.
Thus, GCF of Fractions is 1/690480.Finally, GCF of Fractions for 6038/560, 6285/6165 is 1/690480.