GCF of 7297/538, 7309/5856
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7297/538, 7309/5856 i.e 1/1575264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7297/538, 7309/5856.
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 7297/538,7309/5856?
Given fractions are 7297/538,7309/5856
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 7297/538,7309/5856, numerators are 7297,7309
Denominators are 538,5856
The GCF of 7297,7309 is 1 .
LCM of 538,5856 is 1575264.
The greatest common factor of 7297/538,7309/5856 = [GCF of 7297,7309]/[LCM of 538,5856]= 1/1575264
Therefore, the GCF of 7297/538,7309/5856 is 1/1575264.
To find the highest common factor of 7297,7309, we have to find the factors of both numbers and list the highest common factor.
The factors of 7297 are 1, 7297
The factors of 7309 are 1, 7309
The HCF of 7297,7309 is 1.
Lets's calculate GCF of 7297,7309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7297,7309 By Matching Biggest Common Factor Method
Now, list down the factors of 7297
:1,7297
Now, list down the factors of 7309
:1,7309
Greatest Common Factor
We found the factors 7297,7309 . The biggest common factor number is the GCF number.
So the greatest common factor 7297,7309 is 1.
Lets's calculate LCM of 538,5856
| 2 | 538, 5856 |
| 269, 2928 |
∴ So the LCM of the given numbers is 2 x 269 x 2928 = 1575264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1575264
Therefore, the GCF of Fractions 7297/538,7309/5856 is 1/1575264
Least Common Multiple of 538,5856 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 538,5856 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,5856) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,5856) x common factors =2 x 1 = 2
LCM(538,5856) = ( 538 × 5856 ) / 2
LCM(538,5856) = 3150528 / 2
LCM(538,5856) = 1575264
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FAQs on GCF of Fractions of 7297/538, 7309/5856
1. What is the HCF of 7297,7309?
The HCF of 7297,7309 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 7297/538, 7309/5856?
Answer: GCF of Numerators as per given numbers 7297/538, 7309/5856 is
GCF of Numerators i.e. for 7297,7309 is 1
LCM of denominators i.e. for 538,5856 is 1575264.
Thus, GCF of Fractions is 1/1575264.Finally, GCF of Fractions for 7297/538, 7309/5856 is 1/1575264.