GCF of 7311/290, 4331/2198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7311/290, 4331/2198 i.e 1/318710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7311/290, 4331/2198.
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 7311/290,4331/2198?
Given fractions are 7311/290,4331/2198
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 7311/290,4331/2198, numerators are 7311,4331
Denominators are 290,2198
The GCF of 7311,4331 is 1 .
LCM of 290,2198 is 318710.
The greatest common factor of 7311/290,4331/2198 = [GCF of 7311,4331]/[LCM of 290,2198]= 1/318710
Therefore, the GCF of 7311/290,4331/2198 is 1/318710.
To find the highest common factor of 7311,4331, we have to find the factors of both numbers and list the highest common factor.
The factors of 7311 are 1, 3, 2437, 7311
The factors of 4331 are 1, 61, 71, 4331
The HCF of 7311,4331 is 1.
Lets's calculate GCF of 7311,4331
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7311,4331 By Matching Biggest Common Factor Method
Now, list down the factors of 7311
:1,3,2437,7311
Now, list down the factors of 4331
:1,61,71,4331
Greatest Common Factor
We found the factors 7311,4331 . The biggest common factor number is the GCF number.
So the greatest common factor 7311,4331 is 1.
Lets's calculate LCM of 290,2198
| 2 | 290, 2198 |
| 145, 1099 |
∴ So the LCM of the given numbers is 2 x 145 x 1099 = 318710
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318710
Therefore, the GCF of Fractions 7311/290,4331/2198 is 1/318710
Least Common Multiple of 290,2198 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 290,2198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,2198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,2198) x common factors =2 x 1 = 2
LCM(290,2198) = ( 290 × 2198 ) / 2
LCM(290,2198) = 637420 / 2
LCM(290,2198) = 318710
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FAQs on GCF of Fractions of 7311/290, 4331/2198
1. What is the HCF of 7311,4331?
The HCF of 7311,4331 is 1
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 7311/290, 4331/2198?
Answer: GCF of Numerators as per given numbers 7311/290, 4331/2198 is
GCF of Numerators i.e. for 7311,4331 is 1
LCM of denominators i.e. for 290,2198 is 318710.
Thus, GCF of Fractions is 1/318710.Finally, GCF of Fractions for 7311/290, 4331/2198 is 1/318710.