GCF of 829/69, 146/161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 829/69, 146/161 i.e 1/483 easily. The following is the detailed procedure to determine the greatest common factor of fractions 829/69, 146/161.
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 829/69,146/161?
Given fractions are 829/69,146/161
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 829/69,146/161, numerators are 829,146
Denominators are 69,161
The GCF of 829,146 is 1 .
LCM of 69,161 is 483.
The greatest common factor of 829/69,146/161 = [GCF of 829,146]/[LCM of 69,161]= 1/483
Therefore, the GCF of 829/69,146/161 is 1/483.
To find the highest common factor of 829,146, we have to find the factors of both numbers and list the highest common factor.
The factors of 829 are 1, 829
The factors of 146 are 1, 2, 73, 146
The HCF of 829,146 is 1.
Lets's calculate GCF of 829,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 829,146 By Matching Biggest Common Factor Method
Now, list down the factors of 829
:1,829
Now, list down the factors of 146
:1,2,73,146
Greatest Common Factor
We found the factors 829,146 . The biggest common factor number is the GCF number.
So the greatest common factor 829,146 is 1.
Lets's calculate LCM of 69,161
| 23 | 69, 161 |
| 3, 7 |
∴ So the LCM of the given numbers is 23 x 3 x 7 = 483
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/483
Therefore, the GCF of Fractions 829/69,146/161 is 1/483
Least Common Multiple of 69,161 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 69,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,161) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(69,161) x common factors =23 x 1 = 23
LCM(69,161) = ( 69 × 161 ) / 23
LCM(69,161) = 11109 / 23
LCM(69,161) = 483
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FAQs on GCF of Fractions of 829/69, 146/161
1. What is the HCF of 829,146?
The HCF of 829,146 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 829/69, 146/161?
Answer: GCF of Numerators as per given numbers 829/69, 146/161 is
GCF of Numerators i.e. for 829,146 is 1
LCM of denominators i.e. for 69,161 is 483.
Thus, GCF of Fractions is 1/483.Finally, GCF of Fractions for 829/69, 146/161 is 1/483.