GCF of 715/557, 4160/7451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 715/557, 4160/7451 i.e 65/4150207 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/557, 4160/7451.
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 715/557,4160/7451?
Given fractions are 715/557,4160/7451
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 715/557,4160/7451, numerators are 715,4160
Denominators are 557,7451
The GCF of 715,4160 is 65 .
LCM of 557,7451 is 4150207.
The greatest common factor of 715/557,4160/7451 = [GCF of 715,4160]/[LCM of 557,7451]= 65/4150207
Therefore, the GCF of 715/557,4160/7451 is 65/4150207.
To find the highest common factor of 715,4160, we have to find the factors of both numbers and list the highest common factor.
The factors of 715 are 1, 5, 11, 13, 55, 65, 143, 715
The factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160
The HCF of 715,4160 is 65.
Lets's calculate GCF of 715,4160
| 5 | 715, 4160 |
| 13 | 143, 832 |
| 11, 64 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Greatest Common Factor of 715,4160 By Matching Biggest Common Factor Method
Now, list down the factors of 715
:1,5,11,13,55,65,143,715
Now, list down the factors of 4160
:1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160
Greatest Common Factor
We found the factors 715,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 715,4160 is 65.
Lets's calculate LCM of 557,7451
Given numbers has no common factors except 1. So, there LCM is their product i.e 4150207
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/4150207
Therefore, the GCF of Fractions 715/557,4160/7451 is 65/4150207
Least Common Multiple of 557,7451 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 557,7451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,7451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,7451) x common factors =1 x 1 = 1
LCM(557,7451) = ( 557 × 7451 ) / 1
LCM(557,7451) = 4150207 / 1
LCM(557,7451) = 4150207
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FAQs on GCF of Fractions of 715/557, 4160/7451
1. What is the HCF of 715,4160?
The HCF of 715,4160 is 65
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 715/557, 4160/7451?
Answer: GCF of Numerators as per given numbers 715/557, 4160/7451 is
GCF of Numerators i.e. for 715,4160 is 65
LCM of denominators i.e. for 557,7451 is 4150207.
Thus, GCF of Fractions is 65/4150207.Finally, GCF of Fractions for 715/557, 4160/7451 is 65/4150207.