GCF of 3809/274, 3260/6576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3809/274, 3260/6576 i.e 1/6576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3809/274, 3260/6576.
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 3809/274,3260/6576?
Given fractions are 3809/274,3260/6576
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 3809/274,3260/6576, numerators are 3809,3260
Denominators are 274,6576
The GCF of 3809,3260 is 1 .
LCM of 274,6576 is 6576.
The greatest common factor of 3809/274,3260/6576 = [GCF of 3809,3260]/[LCM of 274,6576]= 1/6576
Therefore, the GCF of 3809/274,3260/6576 is 1/6576.
To find the highest common factor of 3809,3260, we have to find the factors of both numbers and list the highest common factor.
The factors of 3809 are 1, 13, 293, 3809
The factors of 3260 are 1, 2, 4, 5, 10, 20, 163, 326, 652, 815, 1630, 3260
The HCF of 3809,3260 is 1.
Lets's calculate GCF of 3809,3260
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3809,3260 By Matching Biggest Common Factor Method
Now, list down the factors of 3809
:1,13,293,3809
Now, list down the factors of 3260
:1,2,4,5,10,20,163,326,652,815,1630,3260
Greatest Common Factor
We found the factors 3809,3260 . The biggest common factor number is the GCF number.
So the greatest common factor 3809,3260 is 1.
Lets's calculate LCM of 274,6576
| 2 | 274, 6576 |
| 137 | 137, 3288 |
| 1, 24 |
∴ So the LCM of the given numbers is 2 x 137 x 1 x 24 = 6576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6576
Therefore, the GCF of Fractions 3809/274,3260/6576 is 1/6576
Least Common Multiple of 274,6576 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 274,6576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,6576) = 274
common factors(in case of two or more numbers have common factors) = 1
GCF(274,6576) x common factors =274 x 1 = 274
LCM(274,6576) = ( 274 × 6576 ) / 274
LCM(274,6576) = 1801824 / 274
LCM(274,6576) = 6576
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FAQs on GCF of Fractions of 3809/274, 3260/6576
1. What is the HCF of 3809,3260?
The HCF of 3809,3260 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 3809/274, 3260/6576?
Answer: GCF of Numerators as per given numbers 3809/274, 3260/6576 is
GCF of Numerators i.e. for 3809,3260 is 1
LCM of denominators i.e. for 274,6576 is 6576.
Thus, GCF of Fractions is 1/6576.Finally, GCF of Fractions for 3809/274, 3260/6576 is 1/6576.