GCF of 940/129, 728/105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 940/129, 728/105 i.e 4/4515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/129, 728/105.
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 940/129,728/105?
Given fractions are 940/129,728/105
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 940/129,728/105, numerators are 940,728
Denominators are 129,105
The GCF of 940,728 is 4 .
LCM of 129,105 is 4515.
The greatest common factor of 940/129,728/105 = [GCF of 940,728]/[LCM of 129,105]= 4/4515
Therefore, the GCF of 940/129,728/105 is 4/4515.
To find the highest common factor of 940,728, we have to find the factors of both numbers and list the highest common factor.
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The HCF of 940,728 is 4.
Lets's calculate GCF of 940,728
| 2 | 940, 728 |
| 2 | 470, 364 |
| 235, 182 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 940,728 By Matching Biggest Common Factor Method
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Greatest Common Factor
We found the factors 940,728 . The biggest common factor number is the GCF number.
So the greatest common factor 940,728 is 4.
Lets's calculate LCM of 129,105
| 3 | 129, 105 |
| 43, 35 |
∴ So the LCM of the given numbers is 3 x 43 x 35 = 4515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4515
Therefore, the GCF of Fractions 940/129,728/105 is 4/4515
Least Common Multiple of 129,105 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 129,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(129,105) x common factors =3 x 1 = 3
LCM(129,105) = ( 129 × 105 ) / 3
LCM(129,105) = 13545 / 3
LCM(129,105) = 4515
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FAQs on GCF of Fractions of 940/129, 728/105
1. What is the HCF of 940,728?
The HCF of 940,728 is 4
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 940/129, 728/105?
Answer: GCF of Numerators as per given numbers 940/129, 728/105 is
GCF of Numerators i.e. for 940,728 is 4
LCM of denominators i.e. for 129,105 is 4515.
Thus, GCF of Fractions is 4/4515.Finally, GCF of Fractions for 940/129, 728/105 is 4/4515.