GCF of 1381/138, 6140/5864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1381/138, 6140/5864 i.e 1/404616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1381/138, 6140/5864.
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 1381/138,6140/5864?
Given fractions are 1381/138,6140/5864
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 1381/138,6140/5864, numerators are 1381,6140
Denominators are 138,5864
The GCF of 1381,6140 is 1 .
LCM of 138,5864 is 404616.
The greatest common factor of 1381/138,6140/5864 = [GCF of 1381,6140]/[LCM of 138,5864]= 1/404616
Therefore, the GCF of 1381/138,6140/5864 is 1/404616.
To find the highest common factor of 1381,6140, we have to find the factors of both numbers and list the highest common factor.
The factors of 1381 are 1, 1381
The factors of 6140 are 1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140
The HCF of 1381,6140 is 1.
Lets's calculate GCF of 1381,6140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1381,6140 By Matching Biggest Common Factor Method
Now, list down the factors of 1381
:1,1381
Now, list down the factors of 6140
:1,2,4,5,10,20,307,614,1228,1535,3070,6140
Greatest Common Factor
We found the factors 1381,6140 . The biggest common factor number is the GCF number.
So the greatest common factor 1381,6140 is 1.
Lets's calculate LCM of 138,5864
| 2 | 138, 5864 |
| 69, 2932 |
∴ So the LCM of the given numbers is 2 x 69 x 2932 = 404616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404616
Therefore, the GCF of Fractions 1381/138,6140/5864 is 1/404616
Least Common Multiple of 138,5864 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 138,5864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,5864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,5864) x common factors =2 x 1 = 2
LCM(138,5864) = ( 138 × 5864 ) / 2
LCM(138,5864) = 809232 / 2
LCM(138,5864) = 404616
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FAQs on GCF of Fractions of 1381/138, 6140/5864
1. What is the HCF of 1381,6140?
The HCF of 1381,6140 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 1381/138, 6140/5864?
Answer: GCF of Numerators as per given numbers 1381/138, 6140/5864 is
GCF of Numerators i.e. for 1381,6140 is 1
LCM of denominators i.e. for 138,5864 is 404616.
Thus, GCF of Fractions is 1/404616.Finally, GCF of Fractions for 1381/138, 6140/5864 is 1/404616.