GCF of 6971/995, 3549/3867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6971/995, 3549/3867 i.e 1/3847665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6971/995, 3549/3867.
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 6971/995,3549/3867?
Given fractions are 6971/995,3549/3867
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 6971/995,3549/3867, numerators are 6971,3549
Denominators are 995,3867
The GCF of 6971,3549 is 1 .
LCM of 995,3867 is 3847665.
The greatest common factor of 6971/995,3549/3867 = [GCF of 6971,3549]/[LCM of 995,3867]= 1/3847665
Therefore, the GCF of 6971/995,3549/3867 is 1/3847665.
To find the highest common factor of 6971,3549, we have to find the factors of both numbers and list the highest common factor.
The factors of 6971 are 1, 6971
The factors of 3549 are 1, 3, 7, 13, 21, 39, 91, 169, 273, 507, 1183, 3549
The HCF of 6971,3549 is 1.
Lets's calculate GCF of 6971,3549
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6971,3549 By Matching Biggest Common Factor Method
Now, list down the factors of 6971
:1,6971
Now, list down the factors of 3549
:1,3,7,13,21,39,91,169,273,507,1183,3549
Greatest Common Factor
We found the factors 6971,3549 . The biggest common factor number is the GCF number.
So the greatest common factor 6971,3549 is 1.
Lets's calculate LCM of 995,3867
Given numbers has no common factors except 1. So, there LCM is their product i.e 3847665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3847665
Therefore, the GCF of Fractions 6971/995,3549/3867 is 1/3847665
Least Common Multiple of 995,3867 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 995,3867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,3867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,3867) x common factors =1 x 1 = 1
LCM(995,3867) = ( 995 × 3867 ) / 1
LCM(995,3867) = 3847665 / 1
LCM(995,3867) = 3847665
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6971/995, 3549/3867
1. What is the HCF of 6971,3549?
The HCF of 6971,3549 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 6971/995, 3549/3867?
Answer: GCF of Numerators as per given numbers 6971/995, 3549/3867 is
GCF of Numerators i.e. for 6971,3549 is 1
LCM of denominators i.e. for 995,3867 is 3847665.
Thus, GCF of Fractions is 1/3847665.Finally, GCF of Fractions for 6971/995, 3549/3867 is 1/3847665.