GCF of 7998/738, 3131/4399
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7998/738, 3131/4399 i.e 31/3246462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7998/738, 3131/4399.
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 7998/738,3131/4399?
Given fractions are 7998/738,3131/4399
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 7998/738,3131/4399, numerators are 7998,3131
Denominators are 738,4399
The GCF of 7998,3131 is 31 .
LCM of 738,4399 is 3246462.
The greatest common factor of 7998/738,3131/4399 = [GCF of 7998,3131]/[LCM of 738,4399]= 31/3246462
Therefore, the GCF of 7998/738,3131/4399 is 31/3246462.
To find the highest common factor of 7998,3131, we have to find the factors of both numbers and list the highest common factor.
The factors of 7998 are 1, 2, 3, 6, 31, 43, 62, 86, 93, 129, 186, 258, 1333, 2666, 3999, 7998
The factors of 3131 are 1, 31, 101, 3131
The HCF of 7998,3131 is 31.
Lets's calculate GCF of 7998,3131
| 31 | 7998, 3131 |
| 258, 101 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 7998,3131 By Matching Biggest Common Factor Method
Now, list down the factors of 7998
:1,2,3,6,31,43,62,86,93,129,186,258,1333,2666,3999,7998
Now, list down the factors of 3131
:1,31,101,3131
Greatest Common Factor
We found the factors 7998,3131 . The biggest common factor number is the GCF number.
So the greatest common factor 7998,3131 is 31.
Lets's calculate LCM of 738,4399
Given numbers has no common factors except 1. So, there LCM is their product i.e 3246462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/3246462
Therefore, the GCF of Fractions 7998/738,3131/4399 is 31/3246462
Least Common Multiple of 738,4399 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 738,4399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,4399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(738,4399) x common factors =1 x 1 = 1
LCM(738,4399) = ( 738 × 4399 ) / 1
LCM(738,4399) = 3246462 / 1
LCM(738,4399) = 3246462
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FAQs on GCF of Fractions of 7998/738, 3131/4399
1. What is the HCF of 7998,3131?
The HCF of 7998,3131 is 31
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 7998/738, 3131/4399?
Answer: GCF of Numerators as per given numbers 7998/738, 3131/4399 is
GCF of Numerators i.e. for 7998,3131 is 31
LCM of denominators i.e. for 738,4399 is 3246462.
Thus, GCF of Fractions is 31/3246462.Finally, GCF of Fractions for 7998/738, 3131/4399 is 31/3246462.