GCF of 8301/162, 6878/1724
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8301/162, 6878/1724 i.e 1/139644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8301/162, 6878/1724.
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 8301/162,6878/1724?
Given fractions are 8301/162,6878/1724
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 8301/162,6878/1724, numerators are 8301,6878
Denominators are 162,1724
The GCF of 8301,6878 is 1 .
LCM of 162,1724 is 139644.
The greatest common factor of 8301/162,6878/1724 = [GCF of 8301,6878]/[LCM of 162,1724]= 1/139644
Therefore, the GCF of 8301/162,6878/1724 is 1/139644.
To find the highest common factor of 8301,6878, we have to find the factors of both numbers and list the highest common factor.
The factors of 8301 are 1, 3, 2767, 8301
The factors of 6878 are 1, 2, 19, 38, 181, 362, 3439, 6878
The HCF of 8301,6878 is 1.
Lets's calculate GCF of 8301,6878
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8301,6878 By Matching Biggest Common Factor Method
Now, list down the factors of 8301
:1,3,2767,8301
Now, list down the factors of 6878
:1,2,19,38,181,362,3439,6878
Greatest Common Factor
We found the factors 8301,6878 . The biggest common factor number is the GCF number.
So the greatest common factor 8301,6878 is 1.
Lets's calculate LCM of 162,1724
| 2 | 162, 1724 |
| 81, 862 |
∴ So the LCM of the given numbers is 2 x 81 x 862 = 139644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139644
Therefore, the GCF of Fractions 8301/162,6878/1724 is 1/139644
Least Common Multiple of 162,1724 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 162,1724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(162,1724) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(162,1724) x common factors =2 x 1 = 2
LCM(162,1724) = ( 162 × 1724 ) / 2
LCM(162,1724) = 279288 / 2
LCM(162,1724) = 139644
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FAQs on GCF of Fractions of 8301/162, 6878/1724
1. What is the HCF of 8301,6878?
The HCF of 8301,6878 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 8301/162, 6878/1724?
Answer: GCF of Numerators as per given numbers 8301/162, 6878/1724 is
GCF of Numerators i.e. for 8301,6878 is 1
LCM of denominators i.e. for 162,1724 is 139644.
Thus, GCF of Fractions is 1/139644.Finally, GCF of Fractions for 8301/162, 6878/1724 is 1/139644.