GCF of 1782/309, 5748/3383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1782/309, 5748/3383 i.e 6/1045347 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1782/309, 5748/3383.
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 1782/309,5748/3383?
Given fractions are 1782/309,5748/3383
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 1782/309,5748/3383, numerators are 1782,5748
Denominators are 309,3383
The GCF of 1782,5748 is 6 .
LCM of 309,3383 is 1045347.
The greatest common factor of 1782/309,5748/3383 = [GCF of 1782,5748]/[LCM of 309,3383]= 6/1045347
Therefore, the GCF of 1782/309,5748/3383 is 6/1045347.
To find the highest common factor of 1782,5748, we have to find the factors of both numbers and list the highest common factor.
The factors of 1782 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 297, 594, 891, 1782
The factors of 5748 are 1, 2, 3, 4, 6, 12, 479, 958, 1437, 1916, 2874, 5748
The HCF of 1782,5748 is 6.
Lets's calculate GCF of 1782,5748
| 2 | 1782, 5748 |
| 3 | 891, 2874 |
| 297, 958 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1782,5748 By Matching Biggest Common Factor Method
Now, list down the factors of 1782
:1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,297,594,891,1782
Now, list down the factors of 5748
:1,2,3,4,6,12,479,958,1437,1916,2874,5748
Greatest Common Factor
We found the factors 1782,5748 . The biggest common factor number is the GCF number.
So the greatest common factor 1782,5748 is 6.
Lets's calculate LCM of 309,3383
Given numbers has no common factors except 1. So, there LCM is their product i.e 1045347
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1045347
Therefore, the GCF of Fractions 1782/309,5748/3383 is 6/1045347
Least Common Multiple of 309,3383 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 309,3383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,3383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,3383) x common factors =1 x 1 = 1
LCM(309,3383) = ( 309 × 3383 ) / 1
LCM(309,3383) = 1045347 / 1
LCM(309,3383) = 1045347
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FAQs on GCF of Fractions of 1782/309, 5748/3383
1. What is the HCF of 1782,5748?
The HCF of 1782,5748 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 1782/309, 5748/3383?
Answer: GCF of Numerators as per given numbers 1782/309, 5748/3383 is
GCF of Numerators i.e. for 1782,5748 is 6
LCM of denominators i.e. for 309,3383 is 1045347.
Thus, GCF of Fractions is 6/1045347.Finally, GCF of Fractions for 1782/309, 5748/3383 is 6/1045347.