GCF of 4401/557, 6783/2322
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4401/557, 6783/2322 i.e 3/1293354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4401/557, 6783/2322.
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 4401/557,6783/2322?
Given fractions are 4401/557,6783/2322
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 4401/557,6783/2322, numerators are 4401,6783
Denominators are 557,2322
The GCF of 4401,6783 is 3 .
LCM of 557,2322 is 1293354.
The greatest common factor of 4401/557,6783/2322 = [GCF of 4401,6783]/[LCM of 557,2322]= 3/1293354
Therefore, the GCF of 4401/557,6783/2322 is 3/1293354.
To find the highest common factor of 4401,6783, we have to find the factors of both numbers and list the highest common factor.
The factors of 4401 are 1, 3, 9, 27, 163, 489, 1467, 4401
The factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783
The HCF of 4401,6783 is 3.
Lets's calculate GCF of 4401,6783
| 3 | 4401, 6783 |
| 1467, 2261 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4401,6783 By Matching Biggest Common Factor Method
Now, list down the factors of 4401
:1,3,9,27,163,489,1467,4401
Now, list down the factors of 6783
:1,3,7,17,19,21,51,57,119,133,323,357,399,969,2261,6783
Greatest Common Factor
We found the factors 4401,6783 . The biggest common factor number is the GCF number.
So the greatest common factor 4401,6783 is 3.
Lets's calculate LCM of 557,2322
Given numbers has no common factors except 1. So, there LCM is their product i.e 1293354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1293354
Therefore, the GCF of Fractions 4401/557,6783/2322 is 3/1293354
Least Common Multiple of 557,2322 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 557,2322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,2322) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,2322) x common factors =1 x 1 = 1
LCM(557,2322) = ( 557 × 2322 ) / 1
LCM(557,2322) = 1293354 / 1
LCM(557,2322) = 1293354
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FAQs on GCF of Fractions of 4401/557, 6783/2322
1. What is the HCF of 4401,6783?
The HCF of 4401,6783 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 4401/557, 6783/2322?
Answer: GCF of Numerators as per given numbers 4401/557, 6783/2322 is
GCF of Numerators i.e. for 4401,6783 is 3
LCM of denominators i.e. for 557,2322 is 1293354.
Thus, GCF of Fractions is 3/1293354.Finally, GCF of Fractions for 4401/557, 6783/2322 is 3/1293354.