GCF of 1548/995, 6891/7407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1548/995, 6891/7407 i.e 3/7369965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1548/995, 6891/7407.
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 1548/995,6891/7407?
Given fractions are 1548/995,6891/7407
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 1548/995,6891/7407, numerators are 1548,6891
Denominators are 995,7407
The GCF of 1548,6891 is 3 .
LCM of 995,7407 is 7369965.
The greatest common factor of 1548/995,6891/7407 = [GCF of 1548,6891]/[LCM of 995,7407]= 3/7369965
Therefore, the GCF of 1548/995,6891/7407 is 3/7369965.
To find the highest common factor of 1548,6891, we have to find the factors of both numbers and list the highest common factor.
The factors of 1548 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 43, 86, 129, 172, 258, 387, 516, 774, 1548
The factors of 6891 are 1, 3, 2297, 6891
The HCF of 1548,6891 is 3.
Lets's calculate GCF of 1548,6891
| 3 | 1548, 6891 |
| 516, 2297 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1548,6891 By Matching Biggest Common Factor Method
Now, list down the factors of 1548
:1,2,3,4,6,9,12,18,36,43,86,129,172,258,387,516,774,1548
Now, list down the factors of 6891
:1,3,2297,6891
Greatest Common Factor
We found the factors 1548,6891 . The biggest common factor number is the GCF number.
So the greatest common factor 1548,6891 is 3.
Lets's calculate LCM of 995,7407
Given numbers has no common factors except 1. So, there LCM is their product i.e 7369965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7369965
Therefore, the GCF of Fractions 1548/995,6891/7407 is 3/7369965
Least Common Multiple of 995,7407 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 995,7407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,7407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,7407) x common factors =1 x 1 = 1
LCM(995,7407) = ( 995 × 7407 ) / 1
LCM(995,7407) = 7369965 / 1
LCM(995,7407) = 7369965
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FAQs on GCF of Fractions of 1548/995, 6891/7407
1. What is the HCF of 1548,6891?
The HCF of 1548,6891 is 3
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 1548/995, 6891/7407?
Answer: GCF of Numerators as per given numbers 1548/995, 6891/7407 is
GCF of Numerators i.e. for 1548,6891 is 3
LCM of denominators i.e. for 995,7407 is 7369965.
Thus, GCF of Fractions is 3/7369965.Finally, GCF of Fractions for 1548/995, 6891/7407 is 3/7369965.