GCF of 730/960, 485/765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 730/960, 485/765 i.e 5/48960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 730/960, 485/765.
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 730/960,485/765?
Given fractions are 730/960,485/765
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 730/960,485/765, numerators are 730,485
Denominators are 960,765
The GCF of 730,485 is 5 .
LCM of 960,765 is 48960.
The greatest common factor of 730/960,485/765 = [GCF of 730,485]/[LCM of 960,765]= 5/48960
Therefore, the GCF of 730/960,485/765 is 5/48960.
To find the highest common factor of 730,485, we have to find the factors of both numbers and list the highest common factor.
The factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730
The factors of 485 are 1, 5, 97, 485
The HCF of 730,485 is 5.
Lets's calculate GCF of 730,485
| 5 | 730, 485 |
| 146, 97 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 730,485 By Matching Biggest Common Factor Method
Now, list down the factors of 730
:1,2,5,10,73,146,365,730
Now, list down the factors of 485
:1,5,97,485
Greatest Common Factor
We found the factors 730,485 . The biggest common factor number is the GCF number.
So the greatest common factor 730,485 is 5.
Lets's calculate LCM of 960,765
| 3 | 960, 765 |
| 5 | 320, 255 |
| 64, 51 |
∴ So the LCM of the given numbers is 3 x 5 x 64 x 51 = 48960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/48960
Therefore, the GCF of Fractions 730/960,485/765 is 5/48960
Least Common Multiple of 960,765 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 960,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,765) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(960,765) x common factors =15 x 1 = 15
LCM(960,765) = ( 960 × 765 ) / 15
LCM(960,765) = 734400 / 15
LCM(960,765) = 48960
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FAQs on GCF of Fractions of 730/960, 485/765
1. What is the HCF of 730,485?
The HCF of 730,485 is 5
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 730/960, 485/765?
Answer: GCF of Numerators as per given numbers 730/960, 485/765 is
GCF of Numerators i.e. for 730,485 is 5
LCM of denominators i.e. for 960,765 is 48960.
Thus, GCF of Fractions is 5/48960.Finally, GCF of Fractions for 730/960, 485/765 is 5/48960.