GCF of 7930/146, 8113/575
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7930/146, 8113/575 i.e 61/83950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7930/146, 8113/575.
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 7930/146,8113/575?
Given fractions are 7930/146,8113/575
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 7930/146,8113/575, numerators are 7930,8113
Denominators are 146,575
The GCF of 7930,8113 is 61 .
LCM of 146,575 is 83950.
The greatest common factor of 7930/146,8113/575 = [GCF of 7930,8113]/[LCM of 146,575]= 61/83950
Therefore, the GCF of 7930/146,8113/575 is 61/83950.
To find the highest common factor of 7930,8113, we have to find the factors of both numbers and list the highest common factor.
The factors of 7930 are 1, 2, 5, 10, 13, 26, 61, 65, 122, 130, 305, 610, 793, 1586, 3965, 7930
The factors of 8113 are 1, 7, 19, 61, 133, 427, 1159, 8113
The HCF of 7930,8113 is 61.
Lets's calculate GCF of 7930,8113
| 61 | 7930, 8113 |
| 130, 133 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 7930,8113 By Matching Biggest Common Factor Method
Now, list down the factors of 7930
:1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930
Now, list down the factors of 8113
:1,7,19,61,133,427,1159,8113
Greatest Common Factor
We found the factors 7930,8113 . The biggest common factor number is the GCF number.
So the greatest common factor 7930,8113 is 61.
Lets's calculate LCM of 146,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 83950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/83950
Therefore, the GCF of Fractions 7930/146,8113/575 is 61/83950
Least Common Multiple of 146,575 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 146,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(146,575) x common factors =1 x 1 = 1
LCM(146,575) = ( 146 × 575 ) / 1
LCM(146,575) = 83950 / 1
LCM(146,575) = 83950
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FAQs on GCF of Fractions of 7930/146, 8113/575
1. What is the HCF of 7930,8113?
The HCF of 7930,8113 is 61
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 7930/146, 8113/575?
Answer: GCF of Numerators as per given numbers 7930/146, 8113/575 is
GCF of Numerators i.e. for 7930,8113 is 61
LCM of denominators i.e. for 146,575 is 83950.
Thus, GCF of Fractions is 61/83950.Finally, GCF of Fractions for 7930/146, 8113/575 is 61/83950.