GCF of 425/758, 578/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 425/758, 578/809 i.e 17/613222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 425/758, 578/809.
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 425/758,578/809?
Given fractions are 425/758,578/809
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 425/758,578/809, numerators are 425,578
Denominators are 758,809
The GCF of 425,578 is 17 .
LCM of 758,809 is 613222.
The greatest common factor of 425/758,578/809 = [GCF of 425,578]/[LCM of 758,809]= 17/613222
Therefore, the GCF of 425/758,578/809 is 17/613222.
To find the highest common factor of 425,578, we have to find the factors of both numbers and list the highest common factor.
The factors of 425 are 1, 5, 17, 25, 85, 425
The factors of 578 are 1, 2, 17, 34, 289, 578
The HCF of 425,578 is 17.
Lets's calculate GCF of 425,578
| 17 | 425, 578 |
| 25, 34 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 425,578 By Matching Biggest Common Factor Method
Now, list down the factors of 425
:1,5,17,25,85,425
Now, list down the factors of 578
:1,2,17,34,289,578
Greatest Common Factor
We found the factors 425,578 . The biggest common factor number is the GCF number.
So the greatest common factor 425,578 is 17.
Lets's calculate LCM of 758,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 613222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/613222
Therefore, the GCF of Fractions 425/758,578/809 is 17/613222
Least Common Multiple of 758,809 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 758,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(758,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(758,809) x common factors =1 x 1 = 1
LCM(758,809) = ( 758 × 809 ) / 1
LCM(758,809) = 613222 / 1
LCM(758,809) = 613222
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FAQs on GCF of Fractions of 425/758, 578/809
1. What is the HCF of 425,578?
The HCF of 425,578 is 17
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 425/758, 578/809?
Answer: GCF of Numerators as per given numbers 425/758, 578/809 is
GCF of Numerators i.e. for 425,578 is 17
LCM of denominators i.e. for 758,809 is 613222.
Thus, GCF of Fractions is 17/613222.Finally, GCF of Fractions for 425/758, 578/809 is 17/613222.