GCF of 3003/616, 2429/8898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3003/616, 2429/8898 i.e 7/2740584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3003/616, 2429/8898.
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 3003/616,2429/8898?
Given fractions are 3003/616,2429/8898
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 3003/616,2429/8898, numerators are 3003,2429
Denominators are 616,8898
The GCF of 3003,2429 is 7 .
LCM of 616,8898 is 2740584.
The greatest common factor of 3003/616,2429/8898 = [GCF of 3003,2429]/[LCM of 616,8898]= 7/2740584
Therefore, the GCF of 3003/616,2429/8898 is 7/2740584.
To find the highest common factor of 3003,2429, we have to find the factors of both numbers and list the highest common factor.
The factors of 3003 are 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 143, 231, 273, 429, 1001, 3003
The factors of 2429 are 1, 7, 347, 2429
The HCF of 3003,2429 is 7.
Lets's calculate GCF of 3003,2429
| 7 | 3003, 2429 |
| 429, 347 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3003,2429 By Matching Biggest Common Factor Method
Now, list down the factors of 3003
:1,3,7,11,13,21,33,39,77,91,143,231,273,429,1001,3003
Now, list down the factors of 2429
:1,7,347,2429
Greatest Common Factor
We found the factors 3003,2429 . The biggest common factor number is the GCF number.
So the greatest common factor 3003,2429 is 7.
Lets's calculate LCM of 616,8898
| 2 | 616, 8898 |
| 308, 4449 |
∴ So the LCM of the given numbers is 2 x 308 x 4449 = 2740584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2740584
Therefore, the GCF of Fractions 3003/616,2429/8898 is 7/2740584
Least Common Multiple of 616,8898 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 616,8898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,8898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(616,8898) x common factors =2 x 1 = 2
LCM(616,8898) = ( 616 × 8898 ) / 2
LCM(616,8898) = 5481168 / 2
LCM(616,8898) = 2740584
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FAQs on GCF of Fractions of 3003/616, 2429/8898
1. What is the HCF of 3003,2429?
The HCF of 3003,2429 is 7
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 3003/616, 2429/8898?
Answer: GCF of Numerators as per given numbers 3003/616, 2429/8898 is
GCF of Numerators i.e. for 3003,2429 is 7
LCM of denominators i.e. for 616,8898 is 2740584.
Thus, GCF of Fractions is 7/2740584.Finally, GCF of Fractions for 3003/616, 2429/8898 is 7/2740584.