GCF of 6305/175, 1990/4018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6305/175, 1990/4018 i.e 5/100450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6305/175, 1990/4018.
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 6305/175,1990/4018?
Given fractions are 6305/175,1990/4018
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 6305/175,1990/4018, numerators are 6305,1990
Denominators are 175,4018
The GCF of 6305,1990 is 5 .
LCM of 175,4018 is 100450.
The greatest common factor of 6305/175,1990/4018 = [GCF of 6305,1990]/[LCM of 175,4018]= 5/100450
Therefore, the GCF of 6305/175,1990/4018 is 5/100450.
To find the highest common factor of 6305,1990, we have to find the factors of both numbers and list the highest common factor.
The factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305
The factors of 1990 are 1, 2, 5, 10, 199, 398, 995, 1990
The HCF of 6305,1990 is 5.
Lets's calculate GCF of 6305,1990
| 5 | 6305, 1990 |
| 1261, 398 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6305,1990 By Matching Biggest Common Factor Method
Now, list down the factors of 6305
:1,5,13,65,97,485,1261,6305
Now, list down the factors of 1990
:1,2,5,10,199,398,995,1990
Greatest Common Factor
We found the factors 6305,1990 . The biggest common factor number is the GCF number.
So the greatest common factor 6305,1990 is 5.
Lets's calculate LCM of 175,4018
| 7 | 175, 4018 |
| 25, 574 |
∴ So the LCM of the given numbers is 7 x 25 x 574 = 100450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/100450
Therefore, the GCF of Fractions 6305/175,1990/4018 is 5/100450
Least Common Multiple of 175,4018 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 175,4018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,4018) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(175,4018) x common factors =7 x 1 = 7
LCM(175,4018) = ( 175 × 4018 ) / 7
LCM(175,4018) = 703150 / 7
LCM(175,4018) = 100450
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FAQs on GCF of Fractions of 6305/175, 1990/4018
1. What is the HCF of 6305,1990?
The HCF of 6305,1990 is 5
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 6305/175, 1990/4018?
Answer: GCF of Numerators as per given numbers 6305/175, 1990/4018 is
GCF of Numerators i.e. for 6305,1990 is 5
LCM of denominators i.e. for 175,4018 is 100450.
Thus, GCF of Fractions is 5/100450.Finally, GCF of Fractions for 6305/175, 1990/4018 is 5/100450.