GCF of 2349/828, 3003/7768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2349/828, 3003/7768 i.e 3/1607976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2349/828, 3003/7768.
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 2349/828,3003/7768?
Given fractions are 2349/828,3003/7768
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 2349/828,3003/7768, numerators are 2349,3003
Denominators are 828,7768
The GCF of 2349,3003 is 3 .
LCM of 828,7768 is 1607976.
The greatest common factor of 2349/828,3003/7768 = [GCF of 2349,3003]/[LCM of 828,7768]= 3/1607976
Therefore, the GCF of 2349/828,3003/7768 is 3/1607976.
To find the highest common factor of 2349,3003, we have to find the factors of both numbers and list the highest common factor.
The factors of 2349 are 1, 3, 9, 27, 29, 81, 87, 261, 783, 2349
The factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003
The HCF of 2349,3003 is 3.
Lets's calculate GCF of 2349,3003
| 3 | 2349, 3003 |
| 783, 1001 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2349,3003 By Matching Biggest Common Factor Method
Now, list down the factors of 2349
:1,3,9,27,29,81,87,261,783,2349
Now, list down the factors of 3003
:1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003
Greatest Common Factor
We found the factors 2349,3003 . The biggest common factor number is the GCF number.
So the greatest common factor 2349,3003 is 3.
Lets's calculate LCM of 828,7768
| 2 | 828, 7768 |
| 2 | 414, 3884 |
| 207, 1942 |
∴ So the LCM of the given numbers is 2 x 2 x 207 x 1942 = 1607976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1607976
Therefore, the GCF of Fractions 2349/828,3003/7768 is 3/1607976
Least Common Multiple of 828,7768 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 828,7768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(828,7768) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(828,7768) x common factors =4 x 1 = 4
LCM(828,7768) = ( 828 × 7768 ) / 4
LCM(828,7768) = 6431904 / 4
LCM(828,7768) = 1607976
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FAQs on GCF of Fractions of 2349/828, 3003/7768
1. What is the HCF of 2349,3003?
The HCF of 2349,3003 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 2349/828, 3003/7768?
Answer: GCF of Numerators as per given numbers 2349/828, 3003/7768 is
GCF of Numerators i.e. for 2349,3003 is 3
LCM of denominators i.e. for 828,7768 is 1607976.
Thus, GCF of Fractions is 3/1607976.Finally, GCF of Fractions for 2349/828, 3003/7768 is 3/1607976.