GCF of 6141/270, 8378/2962
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6141/270, 8378/2962 i.e 1/399870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6141/270, 8378/2962.
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 6141/270,8378/2962?
Given fractions are 6141/270,8378/2962
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 6141/270,8378/2962, numerators are 6141,8378
Denominators are 270,2962
The GCF of 6141,8378 is 1 .
LCM of 270,2962 is 399870.
The greatest common factor of 6141/270,8378/2962 = [GCF of 6141,8378]/[LCM of 270,2962]= 1/399870
Therefore, the GCF of 6141/270,8378/2962 is 1/399870.
To find the highest common factor of 6141,8378, we have to find the factors of both numbers and list the highest common factor.
The factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141
The factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378
The HCF of 6141,8378 is 1.
Lets's calculate GCF of 6141,8378
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6141,8378 By Matching Biggest Common Factor Method
Now, list down the factors of 6141
:1,3,23,69,89,267,2047,6141
Now, list down the factors of 8378
:1,2,59,71,118,142,4189,8378
Greatest Common Factor
We found the factors 6141,8378 . The biggest common factor number is the GCF number.
So the greatest common factor 6141,8378 is 1.
Lets's calculate LCM of 270,2962
| 2 | 270, 2962 |
| 135, 1481 |
∴ So the LCM of the given numbers is 2 x 135 x 1481 = 399870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/399870
Therefore, the GCF of Fractions 6141/270,8378/2962 is 1/399870
Least Common Multiple of 270,2962 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 270,2962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,2962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(270,2962) x common factors =2 x 1 = 2
LCM(270,2962) = ( 270 × 2962 ) / 2
LCM(270,2962) = 799740 / 2
LCM(270,2962) = 399870
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FAQs on GCF of Fractions of 6141/270, 8378/2962
1. What is the HCF of 6141,8378?
The HCF of 6141,8378 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 6141/270, 8378/2962?
Answer: GCF of Numerators as per given numbers 6141/270, 8378/2962 is
GCF of Numerators i.e. for 6141,8378 is 1
LCM of denominators i.e. for 270,2962 is 399870.
Thus, GCF of Fractions is 1/399870.Finally, GCF of Fractions for 6141/270, 8378/2962 is 1/399870.