GCF of 1338/319, 5754/8494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1338/319, 5754/8494 i.e 6/2709586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1338/319, 5754/8494.
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 1338/319,5754/8494?
Given fractions are 1338/319,5754/8494
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 1338/319,5754/8494, numerators are 1338,5754
Denominators are 319,8494
The GCF of 1338,5754 is 6 .
LCM of 319,8494 is 2709586.
The greatest common factor of 1338/319,5754/8494 = [GCF of 1338,5754]/[LCM of 319,8494]= 6/2709586
Therefore, the GCF of 1338/319,5754/8494 is 6/2709586.
To find the highest common factor of 1338,5754, we have to find the factors of both numbers and list the highest common factor.
The factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338
The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
The HCF of 1338,5754 is 6.
Lets's calculate GCF of 1338,5754
| 2 | 1338, 5754 |
| 3 | 669, 2877 |
| 223, 959 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1338,5754 By Matching Biggest Common Factor Method
Now, list down the factors of 1338
:1,2,3,6,223,446,669,1338
Now, list down the factors of 5754
:1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Greatest Common Factor
We found the factors 1338,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 1338,5754 is 6.
Lets's calculate LCM of 319,8494
Given numbers has no common factors except 1. So, there LCM is their product i.e 2709586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2709586
Therefore, the GCF of Fractions 1338/319,5754/8494 is 6/2709586
Least Common Multiple of 319,8494 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 319,8494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,8494) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,8494) x common factors =1 x 1 = 1
LCM(319,8494) = ( 319 × 8494 ) / 1
LCM(319,8494) = 2709586 / 1
LCM(319,8494) = 2709586
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FAQs on GCF of Fractions of 1338/319, 5754/8494
1. What is the HCF of 1338,5754?
The HCF of 1338,5754 is 6
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 1338/319, 5754/8494?
Answer: GCF of Numerators as per given numbers 1338/319, 5754/8494 is
GCF of Numerators i.e. for 1338,5754 is 6
LCM of denominators i.e. for 319,8494 is 2709586.
Thus, GCF of Fractions is 6/2709586.Finally, GCF of Fractions for 1338/319, 5754/8494 is 6/2709586.