GCF of 146/574, 8529/9010
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 146/574, 8529/9010 i.e 1/2585870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 146/574, 8529/9010.
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 146/574,8529/9010?
Given fractions are 146/574,8529/9010
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 146/574,8529/9010, numerators are 146,8529
Denominators are 574,9010
The GCF of 146,8529 is 1 .
LCM of 574,9010 is 2585870.
The greatest common factor of 146/574,8529/9010 = [GCF of 146,8529]/[LCM of 574,9010]= 1/2585870
Therefore, the GCF of 146/574,8529/9010 is 1/2585870.
To find the highest common factor of 146,8529, we have to find the factors of both numbers and list the highest common factor.
The factors of 146 are 1, 2, 73, 146
The factors of 8529 are 1, 3, 2843, 8529
The HCF of 146,8529 is 1.
Lets's calculate GCF of 146,8529
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 146,8529 By Matching Biggest Common Factor Method
Now, list down the factors of 146
:1,2,73,146
Now, list down the factors of 8529
:1,3,2843,8529
Greatest Common Factor
We found the factors 146,8529 . The biggest common factor number is the GCF number.
So the greatest common factor 146,8529 is 1.
Lets's calculate LCM of 574,9010
| 2 | 574, 9010 |
| 287, 4505 |
∴ So the LCM of the given numbers is 2 x 287 x 4505 = 2585870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2585870
Therefore, the GCF of Fractions 146/574,8529/9010 is 1/2585870
Least Common Multiple of 574,9010 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 574,9010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,9010) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(574,9010) x common factors =2 x 1 = 2
LCM(574,9010) = ( 574 × 9010 ) / 2
LCM(574,9010) = 5171740 / 2
LCM(574,9010) = 2585870
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FAQs on GCF of Fractions of 146/574, 8529/9010
1. What is the HCF of 146,8529?
The HCF of 146,8529 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 146/574, 8529/9010?
Answer: GCF of Numerators as per given numbers 146/574, 8529/9010 is
GCF of Numerators i.e. for 146,8529 is 1
LCM of denominators i.e. for 574,9010 is 2585870.
Thus, GCF of Fractions is 1/2585870.Finally, GCF of Fractions for 146/574, 8529/9010 is 1/2585870.