GCF of 8738/273, 1284/3786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8738/273, 1284/3786 i.e 2/344526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8738/273, 1284/3786.
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 8738/273,1284/3786?
Given fractions are 8738/273,1284/3786
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 8738/273,1284/3786, numerators are 8738,1284
Denominators are 273,3786
The GCF of 8738,1284 is 2 .
LCM of 273,3786 is 344526.
The greatest common factor of 8738/273,1284/3786 = [GCF of 8738,1284]/[LCM of 273,3786]= 2/344526
Therefore, the GCF of 8738/273,1284/3786 is 2/344526.
To find the highest common factor of 8738,1284, we have to find the factors of both numbers and list the highest common factor.
The factors of 8738 are 1, 2, 17, 34, 257, 514, 4369, 8738
The factors of 1284 are 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284
The HCF of 8738,1284 is 2.
Lets's calculate GCF of 8738,1284
| 2 | 8738, 1284 |
| 4369, 642 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8738,1284 By Matching Biggest Common Factor Method
Now, list down the factors of 8738
:1,2,17,34,257,514,4369,8738
Now, list down the factors of 1284
:1,2,3,4,6,12,107,214,321,428,642,1284
Greatest Common Factor
We found the factors 8738,1284 . The biggest common factor number is the GCF number.
So the greatest common factor 8738,1284 is 2.
Lets's calculate LCM of 273,3786
| 3 | 273, 3786 |
| 91, 1262 |
∴ So the LCM of the given numbers is 3 x 91 x 1262 = 344526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/344526
Therefore, the GCF of Fractions 8738/273,1284/3786 is 2/344526
Least Common Multiple of 273,3786 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 273,3786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,3786) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(273,3786) x common factors =3 x 1 = 3
LCM(273,3786) = ( 273 × 3786 ) / 3
LCM(273,3786) = 1033578 / 3
LCM(273,3786) = 344526
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FAQs on GCF of Fractions of 8738/273, 1284/3786
1. What is the HCF of 8738,1284?
The HCF of 8738,1284 is 2
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 8738/273, 1284/3786?
Answer: GCF of Numerators as per given numbers 8738/273, 1284/3786 is
GCF of Numerators i.e. for 8738,1284 is 2
LCM of denominators i.e. for 273,3786 is 344526.
Thus, GCF of Fractions is 2/344526.Finally, GCF of Fractions for 8738/273, 1284/3786 is 2/344526.