GCF of 4067/15, 1891/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4067/15, 1891/971 i.e 1/14565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4067/15, 1891/971.
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 4067/15,1891/971?
Given fractions are 4067/15,1891/971
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 4067/15,1891/971, numerators are 4067,1891
Denominators are 15,971
The GCF of 4067,1891 is 1 .
LCM of 15,971 is 14565.
The greatest common factor of 4067/15,1891/971 = [GCF of 4067,1891]/[LCM of 15,971]= 1/14565
Therefore, the GCF of 4067/15,1891/971 is 1/14565.
To find the highest common factor of 4067,1891, we have to find the factors of both numbers and list the highest common factor.
The factors of 4067 are 1, 7, 49, 83, 581, 4067
The factors of 1891 are 1, 31, 61, 1891
The HCF of 4067,1891 is 1.
Lets's calculate GCF of 4067,1891
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4067,1891 By Matching Biggest Common Factor Method
Now, list down the factors of 4067
:1,7,49,83,581,4067
Now, list down the factors of 1891
:1,31,61,1891
Greatest Common Factor
We found the factors 4067,1891 . The biggest common factor number is the GCF number.
So the greatest common factor 4067,1891 is 1.
Lets's calculate LCM of 15,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 14565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14565
Therefore, the GCF of Fractions 4067/15,1891/971 is 1/14565
Least Common Multiple of 15,971 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 15,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,971) x common factors =1 x 1 = 1
LCM(15,971) = ( 15 × 971 ) / 1
LCM(15,971) = 14565 / 1
LCM(15,971) = 14565
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FAQs on GCF of Fractions of 4067/15, 1891/971
1. What is the HCF of 4067,1891?
The HCF of 4067,1891 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 4067/15, 1891/971?
Answer: GCF of Numerators as per given numbers 4067/15, 1891/971 is
GCF of Numerators i.e. for 4067,1891 is 1
LCM of denominators i.e. for 15,971 is 14565.
Thus, GCF of Fractions is 1/14565.Finally, GCF of Fractions for 4067/15, 1891/971 is 1/14565.