GCF of 610/153, 929/579
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 610/153, 929/579 i.e 1/29529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 610/153, 929/579.
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 610/153,929/579?
Given fractions are 610/153,929/579
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 610/153,929/579, numerators are 610,929
Denominators are 153,579
The GCF of 610,929 is 1 .
LCM of 153,579 is 29529.
The greatest common factor of 610/153,929/579 = [GCF of 610,929]/[LCM of 153,579]= 1/29529
Therefore, the GCF of 610/153,929/579 is 1/29529.
To find the highest common factor of 610,929, we have to find the factors of both numbers and list the highest common factor.
The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610
The factors of 929 are 1, 929
The HCF of 610,929 is 1.
Lets's calculate GCF of 610,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 610,929 By Matching Biggest Common Factor Method
Now, list down the factors of 610
:1,2,5,10,61,122,305,610
Now, list down the factors of 929
:1,929
Greatest Common Factor
We found the factors 610,929 . The biggest common factor number is the GCF number.
So the greatest common factor 610,929 is 1.
Lets's calculate LCM of 153,579
| 3 | 153, 579 |
| 51, 193 |
∴ So the LCM of the given numbers is 3 x 51 x 193 = 29529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29529
Therefore, the GCF of Fractions 610/153,929/579 is 1/29529
Least Common Multiple of 153,579 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 153,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,579) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(153,579) x common factors =3 x 1 = 3
LCM(153,579) = ( 153 × 579 ) / 3
LCM(153,579) = 88587 / 3
LCM(153,579) = 29529
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FAQs on GCF of Fractions of 610/153, 929/579
1. What is the HCF of 610,929?
The HCF of 610,929 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 610/153, 929/579?
Answer: GCF of Numerators as per given numbers 610/153, 929/579 is
GCF of Numerators i.e. for 610,929 is 1
LCM of denominators i.e. for 153,579 is 29529.
Thus, GCF of Fractions is 1/29529.Finally, GCF of Fractions for 610/153, 929/579 is 1/29529.