GCF of 7311/394, 4969/5210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7311/394, 4969/5210 i.e 1/1026370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7311/394, 4969/5210.
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 7311/394,4969/5210?
Given fractions are 7311/394,4969/5210
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 7311/394,4969/5210, numerators are 7311,4969
Denominators are 394,5210
The GCF of 7311,4969 is 1 .
LCM of 394,5210 is 1026370.
The greatest common factor of 7311/394,4969/5210 = [GCF of 7311,4969]/[LCM of 394,5210]= 1/1026370
Therefore, the GCF of 7311/394,4969/5210 is 1/1026370.
To find the highest common factor of 7311,4969, 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 4969 are 1, 4969
The HCF of 7311,4969 is 1.
Lets's calculate GCF of 7311,4969
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7311,4969 By Matching Biggest Common Factor Method
Now, list down the factors of 7311
:1,3,2437,7311
Now, list down the factors of 4969
:1,4969
Greatest Common Factor
We found the factors 7311,4969 . The biggest common factor number is the GCF number.
So the greatest common factor 7311,4969 is 1.
Lets's calculate LCM of 394,5210
| 2 | 394, 5210 |
| 197, 2605 |
∴ So the LCM of the given numbers is 2 x 197 x 2605 = 1026370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1026370
Therefore, the GCF of Fractions 7311/394,4969/5210 is 1/1026370
Least Common Multiple of 394,5210 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 394,5210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,5210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(394,5210) x common factors =2 x 1 = 2
LCM(394,5210) = ( 394 × 5210 ) / 2
LCM(394,5210) = 2052740 / 2
LCM(394,5210) = 1026370
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FAQs on GCF of Fractions of 7311/394, 4969/5210
1. What is the HCF of 7311,4969?
The HCF of 7311,4969 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 7311/394, 4969/5210?
Answer: GCF of Numerators as per given numbers 7311/394, 4969/5210 is
GCF of Numerators i.e. for 7311,4969 is 1
LCM of denominators i.e. for 394,5210 is 1026370.
Thus, GCF of Fractions is 1/1026370.Finally, GCF of Fractions for 7311/394, 4969/5210 is 1/1026370.