GCF of 472/360, 5959/579
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 472/360, 5959/579 i.e 59/69480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 472/360, 5959/579.
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 472/360,5959/579?
Given fractions are 472/360,5959/579
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 472/360,5959/579, numerators are 472,5959
Denominators are 360,579
The GCF of 472,5959 is 59 .
LCM of 360,579 is 69480.
The greatest common factor of 472/360,5959/579 = [GCF of 472,5959]/[LCM of 360,579]= 59/69480
Therefore, the GCF of 472/360,5959/579 is 59/69480.
To find the highest common factor of 472,5959, we have to find the factors of both numbers and list the highest common factor.
The factors of 472 are 1, 2, 4, 8, 59, 118, 236, 472
The factors of 5959 are 1, 59, 101, 5959
The HCF of 472,5959 is 59.
Lets's calculate GCF of 472,5959
| 59 | 472, 5959 |
| 8, 101 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 472,5959 By Matching Biggest Common Factor Method
Now, list down the factors of 472
:1,2,4,8,59,118,236,472
Now, list down the factors of 5959
:1,59,101,5959
Greatest Common Factor
We found the factors 472,5959 . The biggest common factor number is the GCF number.
So the greatest common factor 472,5959 is 59.
Lets's calculate LCM of 360,579
| 3 | 360, 579 |
| 120, 193 |
∴ So the LCM of the given numbers is 3 x 120 x 193 = 69480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/69480
Therefore, the GCF of Fractions 472/360,5959/579 is 59/69480
Least Common Multiple of 360,579 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 360,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,579) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(360,579) x common factors =3 x 1 = 3
LCM(360,579) = ( 360 × 579 ) / 3
LCM(360,579) = 208440 / 3
LCM(360,579) = 69480
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FAQs on GCF of Fractions of 472/360, 5959/579
1. What is the HCF of 472,5959?
The HCF of 472,5959 is 59
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 472/360, 5959/579?
Answer: GCF of Numerators as per given numbers 472/360, 5959/579 is
GCF of Numerators i.e. for 472,5959 is 59
LCM of denominators i.e. for 360,579 is 69480.
Thus, GCF of Fractions is 59/69480.Finally, GCF of Fractions for 472/360, 5959/579 is 59/69480.