GCF of 6655/828, 2233/1042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6655/828, 2233/1042 i.e 11/431388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6655/828, 2233/1042.
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 6655/828,2233/1042?
Given fractions are 6655/828,2233/1042
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 6655/828,2233/1042, numerators are 6655,2233
Denominators are 828,1042
The GCF of 6655,2233 is 11 .
LCM of 828,1042 is 431388.
The greatest common factor of 6655/828,2233/1042 = [GCF of 6655,2233]/[LCM of 828,1042]= 11/431388
Therefore, the GCF of 6655/828,2233/1042 is 11/431388.
To find the highest common factor of 6655,2233, we have to find the factors of both numbers and list the highest common factor.
The factors of 6655 are 1, 5, 11, 55, 121, 605, 1331, 6655
The factors of 2233 are 1, 7, 11, 29, 77, 203, 319, 2233
The HCF of 6655,2233 is 11.
Lets's calculate GCF of 6655,2233
| 11 | 6655, 2233 |
| 605, 203 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6655,2233 By Matching Biggest Common Factor Method
Now, list down the factors of 6655
:1,5,11,55,121,605,1331,6655
Now, list down the factors of 2233
:1,7,11,29,77,203,319,2233
Greatest Common Factor
We found the factors 6655,2233 . The biggest common factor number is the GCF number.
So the greatest common factor 6655,2233 is 11.
Lets's calculate LCM of 828,1042
| 2 | 828, 1042 |
| 414, 521 |
∴ So the LCM of the given numbers is 2 x 414 x 521 = 431388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/431388
Therefore, the GCF of Fractions 6655/828,2233/1042 is 11/431388
Least Common Multiple of 828,1042 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 828,1042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,1042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(828,1042) x common factors =2 x 1 = 2
LCM(828,1042) = ( 828 × 1042 ) / 2
LCM(828,1042) = 862776 / 2
LCM(828,1042) = 431388
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FAQs on GCF of Fractions of 6655/828, 2233/1042
1. What is the HCF of 6655,2233?
The HCF of 6655,2233 is 11
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 6655/828, 2233/1042?
Answer: GCF of Numerators as per given numbers 6655/828, 2233/1042 is
GCF of Numerators i.e. for 6655,2233 is 11
LCM of denominators i.e. for 828,1042 is 431388.
Thus, GCF of Fractions is 11/431388.Finally, GCF of Fractions for 6655/828, 2233/1042 is 11/431388.