GCF of 7904/514, 3184/897
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7904/514, 3184/897 i.e 16/461058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7904/514, 3184/897.
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 7904/514,3184/897?
Given fractions are 7904/514,3184/897
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 7904/514,3184/897, numerators are 7904,3184
Denominators are 514,897
The GCF of 7904,3184 is 16 .
LCM of 514,897 is 461058.
The greatest common factor of 7904/514,3184/897 = [GCF of 7904,3184]/[LCM of 514,897]= 16/461058
Therefore, the GCF of 7904/514,3184/897 is 16/461058.
To find the highest common factor of 7904,3184, we have to find the factors of both numbers and list the highest common factor.
The factors of 7904 are 1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952, 7904
The factors of 3184 are 1, 2, 4, 8, 16, 199, 398, 796, 1592, 3184
The HCF of 7904,3184 is 16.
Lets's calculate GCF of 7904,3184
| 2 | 7904, 3184 |
| 2 | 3952, 1592 |
| 2 | 1976, 796 |
| 2 | 988, 398 |
| 494, 199 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 7904,3184 By Matching Biggest Common Factor Method
Now, list down the factors of 7904
:1,2,4,8,13,16,19,26,32,38,52,76,104,152,208,247,304,416,494,608,988,1976,3952,7904
Now, list down the factors of 3184
:1,2,4,8,16,199,398,796,1592,3184
Greatest Common Factor
We found the factors 7904,3184 . The biggest common factor number is the GCF number.
So the greatest common factor 7904,3184 is 16.
Lets's calculate LCM of 514,897
Given numbers has no common factors except 1. So, there LCM is their product i.e 461058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/461058
Therefore, the GCF of Fractions 7904/514,3184/897 is 16/461058
Least Common Multiple of 514,897 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 514,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(514,897) x common factors =1 x 1 = 1
LCM(514,897) = ( 514 × 897 ) / 1
LCM(514,897) = 461058 / 1
LCM(514,897) = 461058
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FAQs on GCF of Fractions of 7904/514, 3184/897
1. What is the HCF of 7904,3184?
The HCF of 7904,3184 is 16
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 7904/514, 3184/897?
Answer: GCF of Numerators as per given numbers 7904/514, 3184/897 is
GCF of Numerators i.e. for 7904,3184 is 16
LCM of denominators i.e. for 514,897 is 461058.
Thus, GCF of Fractions is 16/461058.Finally, GCF of Fractions for 7904/514, 3184/897 is 16/461058.