GCF of 3789/126, 1590/6391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3789/126, 1590/6391 i.e 3/115038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3789/126, 1590/6391.
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 3789/126,1590/6391?
Given fractions are 3789/126,1590/6391
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 3789/126,1590/6391, numerators are 3789,1590
Denominators are 126,6391
The GCF of 3789,1590 is 3 .
LCM of 126,6391 is 115038.
The greatest common factor of 3789/126,1590/6391 = [GCF of 3789,1590]/[LCM of 126,6391]= 3/115038
Therefore, the GCF of 3789/126,1590/6391 is 3/115038.
To find the highest common factor of 3789,1590, we have to find the factors of both numbers and list the highest common factor.
The factors of 3789 are 1, 3, 9, 421, 1263, 3789
The factors of 1590 are 1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795, 1590
The HCF of 3789,1590 is 3.
Lets's calculate GCF of 3789,1590
| 3 | 3789, 1590 |
| 1263, 530 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3789,1590 By Matching Biggest Common Factor Method
Now, list down the factors of 3789
:1,3,9,421,1263,3789
Now, list down the factors of 1590
:1,2,3,5,6,10,15,30,53,106,159,265,318,530,795,1590
Greatest Common Factor
We found the factors 3789,1590 . The biggest common factor number is the GCF number.
So the greatest common factor 3789,1590 is 3.
Lets's calculate LCM of 126,6391
| 7 | 126, 6391 |
| 18, 913 |
∴ So the LCM of the given numbers is 7 x 18 x 913 = 115038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/115038
Therefore, the GCF of Fractions 3789/126,1590/6391 is 3/115038
Least Common Multiple of 126,6391 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 126,6391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,6391) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(126,6391) x common factors =7 x 1 = 7
LCM(126,6391) = ( 126 × 6391 ) / 7
LCM(126,6391) = 805266 / 7
LCM(126,6391) = 115038
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FAQs on GCF of Fractions of 3789/126, 1590/6391
1. What is the HCF of 3789,1590?
The HCF of 3789,1590 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 3789/126, 1590/6391?
Answer: GCF of Numerators as per given numbers 3789/126, 1590/6391 is
GCF of Numerators i.e. for 3789,1590 is 3
LCM of denominators i.e. for 126,6391 is 115038.
Thus, GCF of Fractions is 3/115038.Finally, GCF of Fractions for 3789/126, 1590/6391 is 3/115038.