GCF of 520/404, 725/299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 520/404, 725/299 i.e 5/120796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/404, 725/299.
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 520/404,725/299?
Given fractions are 520/404,725/299
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 520/404,725/299, numerators are 520,725
Denominators are 404,299
The GCF of 520,725 is 5 .
LCM of 404,299 is 120796.
The greatest common factor of 520/404,725/299 = [GCF of 520,725]/[LCM of 404,299]= 5/120796
Therefore, the GCF of 520/404,725/299 is 5/120796.
To find the highest common factor of 520,725, we have to find the factors of both numbers and list the highest common factor.
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 725 are 1, 5, 25, 29, 145, 725
The HCF of 520,725 is 5.
Lets's calculate GCF of 520,725
| 5 | 520, 725 |
| 104, 145 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 520,725 By Matching Biggest Common Factor Method
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 725
:1,5,25,29,145,725
Greatest Common Factor
We found the factors 520,725 . The biggest common factor number is the GCF number.
So the greatest common factor 520,725 is 5.
Lets's calculate LCM of 404,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 120796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/120796
Therefore, the GCF of Fractions 520/404,725/299 is 5/120796
Least Common Multiple of 404,299 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 404,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,299) x common factors =1 x 1 = 1
LCM(404,299) = ( 404 × 299 ) / 1
LCM(404,299) = 120796 / 1
LCM(404,299) = 120796
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FAQs on GCF of Fractions of 520/404, 725/299
1. What is the HCF of 520,725?
The HCF of 520,725 is 5
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 520/404, 725/299?
Answer: GCF of Numerators as per given numbers 520/404, 725/299 is
GCF of Numerators i.e. for 520,725 is 5
LCM of denominators i.e. for 404,299 is 120796.
Thus, GCF of Fractions is 5/120796.Finally, GCF of Fractions for 520/404, 725/299 is 5/120796.