GCF of 715/59, 286/168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 715/59, 286/168 i.e 143/9912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 715/59, 286/168.
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 715/59,286/168?
Given fractions are 715/59,286/168
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 715/59,286/168, numerators are 715,286
Denominators are 59,168
The GCF of 715,286 is 143 .
LCM of 59,168 is 9912.
The greatest common factor of 715/59,286/168 = [GCF of 715,286]/[LCM of 59,168]= 143/9912
Therefore, the GCF of 715/59,286/168 is 143/9912.
To find the highest common factor of 715,286, 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 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 715,286 is 143.
Lets's calculate GCF of 715,286
| 11 | 715, 286 |
| 13 | 65, 26 |
| 5, 2 |
∴ So the GCF of the given numbers is 11 x 13 = 143
Greatest Common Factor of 715,286 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 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 715,286 . The biggest common factor number is the GCF number.
So the greatest common factor 715,286 is 143.
Lets's calculate LCM of 59,168
Given numbers has no common factors except 1. So, there LCM is their product i.e 9912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 143/9912
Therefore, the GCF of Fractions 715/59,286/168 is 143/9912
Least Common Multiple of 59,168 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 59,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,168) x common factors =1 x 1 = 1
LCM(59,168) = ( 59 × 168 ) / 1
LCM(59,168) = 9912 / 1
LCM(59,168) = 9912
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FAQs on GCF of Fractions of 715/59, 286/168
1. What is the HCF of 715,286?
The HCF of 715,286 is 143
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 715/59, 286/168?
Answer: GCF of Numerators as per given numbers 715/59, 286/168 is
GCF of Numerators i.e. for 715,286 is 143
LCM of denominators i.e. for 59,168 is 9912.
Thus, GCF of Fractions is 143/9912.Finally, GCF of Fractions for 715/59, 286/168 is 143/9912.