GCF of 3904/988, 3514/4090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3904/988, 3514/4090 i.e 2/2020460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3904/988, 3514/4090.
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 3904/988,3514/4090?
Given fractions are 3904/988,3514/4090
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 3904/988,3514/4090, numerators are 3904,3514
Denominators are 988,4090
The GCF of 3904,3514 is 2 .
LCM of 988,4090 is 2020460.
The greatest common factor of 3904/988,3514/4090 = [GCF of 3904,3514]/[LCM of 988,4090]= 2/2020460
Therefore, the GCF of 3904/988,3514/4090 is 2/2020460.
To find the highest common factor of 3904,3514, we have to find the factors of both numbers and list the highest common factor.
The factors of 3904 are 1, 2, 4, 8, 16, 32, 61, 64, 122, 244, 488, 976, 1952, 3904
The factors of 3514 are 1, 2, 7, 14, 251, 502, 1757, 3514
The HCF of 3904,3514 is 2.
Lets's calculate GCF of 3904,3514
| 2 | 3904, 3514 |
| 1952, 1757 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3904,3514 By Matching Biggest Common Factor Method
Now, list down the factors of 3904
:1,2,4,8,16,32,61,64,122,244,488,976,1952,3904
Now, list down the factors of 3514
:1,2,7,14,251,502,1757,3514
Greatest Common Factor
We found the factors 3904,3514 . The biggest common factor number is the GCF number.
So the greatest common factor 3904,3514 is 2.
Lets's calculate LCM of 988,4090
| 2 | 988, 4090 |
| 494, 2045 |
∴ So the LCM of the given numbers is 2 x 494 x 2045 = 2020460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2020460
Therefore, the GCF of Fractions 3904/988,3514/4090 is 2/2020460
Least Common Multiple of 988,4090 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 988,4090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,4090) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(988,4090) x common factors =2 x 1 = 2
LCM(988,4090) = ( 988 × 4090 ) / 2
LCM(988,4090) = 4040920 / 2
LCM(988,4090) = 2020460
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FAQs on GCF of Fractions of 3904/988, 3514/4090
1. What is the HCF of 3904,3514?
The HCF of 3904,3514 is 2
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 3904/988, 3514/4090?
Answer: GCF of Numerators as per given numbers 3904/988, 3514/4090 is
GCF of Numerators i.e. for 3904,3514 is 2
LCM of denominators i.e. for 988,4090 is 2020460.
Thus, GCF of Fractions is 2/2020460.Finally, GCF of Fractions for 3904/988, 3514/4090 is 2/2020460.