GCF of 7256/588, 5438/3232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7256/588, 5438/3232 i.e 2/475104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7256/588, 5438/3232.
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 7256/588,5438/3232?
Given fractions are 7256/588,5438/3232
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 7256/588,5438/3232, numerators are 7256,5438
Denominators are 588,3232
The GCF of 7256,5438 is 2 .
LCM of 588,3232 is 475104.
The greatest common factor of 7256/588,5438/3232 = [GCF of 7256,5438]/[LCM of 588,3232]= 2/475104
Therefore, the GCF of 7256/588,5438/3232 is 2/475104.
To find the highest common factor of 7256,5438, we have to find the factors of both numbers and list the highest common factor.
The factors of 7256 are 1, 2, 4, 8, 907, 1814, 3628, 7256
The factors of 5438 are 1, 2, 2719, 5438
The HCF of 7256,5438 is 2.
Lets's calculate GCF of 7256,5438
| 2 | 7256, 5438 |
| 3628, 2719 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7256,5438 By Matching Biggest Common Factor Method
Now, list down the factors of 7256
:1,2,4,8,907,1814,3628,7256
Now, list down the factors of 5438
:1,2,2719,5438
Greatest Common Factor
We found the factors 7256,5438 . The biggest common factor number is the GCF number.
So the greatest common factor 7256,5438 is 2.
Lets's calculate LCM of 588,3232
| 2 | 588, 3232 |
| 2 | 294, 1616 |
| 147, 808 |
∴ So the LCM of the given numbers is 2 x 2 x 147 x 808 = 475104
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/475104
Therefore, the GCF of Fractions 7256/588,5438/3232 is 2/475104
Least Common Multiple of 588,3232 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 588,3232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,3232) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(588,3232) x common factors =4 x 1 = 4
LCM(588,3232) = ( 588 × 3232 ) / 4
LCM(588,3232) = 1900416 / 4
LCM(588,3232) = 475104
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FAQs on GCF of Fractions of 7256/588, 5438/3232
1. What is the HCF of 7256,5438?
The HCF of 7256,5438 is 2
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 7256/588, 5438/3232?
Answer: GCF of Numerators as per given numbers 7256/588, 5438/3232 is
GCF of Numerators i.e. for 7256,5438 is 2
LCM of denominators i.e. for 588,3232 is 475104.
Thus, GCF of Fractions is 2/475104.Finally, GCF of Fractions for 7256/588, 5438/3232 is 2/475104.