GCF of 1579/522, 5495/129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1579/522, 5495/129 i.e 1/22446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1579/522, 5495/129.
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 1579/522,5495/129?
Given fractions are 1579/522,5495/129
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 1579/522,5495/129, numerators are 1579,5495
Denominators are 522,129
The GCF of 1579,5495 is 1 .
LCM of 522,129 is 22446.
The greatest common factor of 1579/522,5495/129 = [GCF of 1579,5495]/[LCM of 522,129]= 1/22446
Therefore, the GCF of 1579/522,5495/129 is 1/22446.
To find the highest common factor of 1579,5495, we have to find the factors of both numbers and list the highest common factor.
The factors of 1579 are 1, 1579
The factors of 5495 are 1, 5, 7, 35, 157, 785, 1099, 5495
The HCF of 1579,5495 is 1.
Lets's calculate GCF of 1579,5495
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1579,5495 By Matching Biggest Common Factor Method
Now, list down the factors of 1579
:1,1579
Now, list down the factors of 5495
:1,5,7,35,157,785,1099,5495
Greatest Common Factor
We found the factors 1579,5495 . The biggest common factor number is the GCF number.
So the greatest common factor 1579,5495 is 1.
Lets's calculate LCM of 522,129
| 3 | 522, 129 |
| 174, 43 |
∴ So the LCM of the given numbers is 3 x 174 x 43 = 22446
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22446
Therefore, the GCF of Fractions 1579/522,5495/129 is 1/22446
Least Common Multiple of 522,129 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 522,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,129) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(522,129) x common factors =3 x 1 = 3
LCM(522,129) = ( 522 × 129 ) / 3
LCM(522,129) = 67338 / 3
LCM(522,129) = 22446
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FAQs on GCF of Fractions of 1579/522, 5495/129
1. What is the HCF of 1579,5495?
The HCF of 1579,5495 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 1579/522, 5495/129?
Answer: GCF of Numerators as per given numbers 1579/522, 5495/129 is
GCF of Numerators i.e. for 1579,5495 is 1
LCM of denominators i.e. for 522,129 is 22446.
Thus, GCF of Fractions is 1/22446.Finally, GCF of Fractions for 1579/522, 5495/129 is 1/22446.