GCF of 7397/356, 5098/3464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7397/356, 5098/3464 i.e 1/308296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7397/356, 5098/3464.
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 7397/356,5098/3464?
Given fractions are 7397/356,5098/3464
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 7397/356,5098/3464, numerators are 7397,5098
Denominators are 356,3464
The GCF of 7397,5098 is 1 .
LCM of 356,3464 is 308296.
The greatest common factor of 7397/356,5098/3464 = [GCF of 7397,5098]/[LCM of 356,3464]= 1/308296
Therefore, the GCF of 7397/356,5098/3464 is 1/308296.
To find the highest common factor of 7397,5098, we have to find the factors of both numbers and list the highest common factor.
The factors of 7397 are 1, 13, 569, 7397
The factors of 5098 are 1, 2, 2549, 5098
The HCF of 7397,5098 is 1.
Lets's calculate GCF of 7397,5098
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7397,5098 By Matching Biggest Common Factor Method
Now, list down the factors of 7397
:1,13,569,7397
Now, list down the factors of 5098
:1,2,2549,5098
Greatest Common Factor
We found the factors 7397,5098 . The biggest common factor number is the GCF number.
So the greatest common factor 7397,5098 is 1.
Lets's calculate LCM of 356,3464
| 2 | 356, 3464 |
| 2 | 178, 1732 |
| 89, 866 |
∴ So the LCM of the given numbers is 2 x 2 x 89 x 866 = 308296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/308296
Therefore, the GCF of Fractions 7397/356,5098/3464 is 1/308296
Least Common Multiple of 356,3464 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 356,3464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(356,3464) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(356,3464) x common factors =4 x 1 = 4
LCM(356,3464) = ( 356 × 3464 ) / 4
LCM(356,3464) = 1233184 / 4
LCM(356,3464) = 308296
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FAQs on GCF of Fractions of 7397/356, 5098/3464
1. What is the HCF of 7397,5098?
The HCF of 7397,5098 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 7397/356, 5098/3464?
Answer: GCF of Numerators as per given numbers 7397/356, 5098/3464 is
GCF of Numerators i.e. for 7397,5098 is 1
LCM of denominators i.e. for 356,3464 is 308296.
Thus, GCF of Fractions is 1/308296.Finally, GCF of Fractions for 7397/356, 5098/3464 is 1/308296.