GCF of 886/173, 782/415
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 886/173, 782/415 i.e 2/71795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 886/173, 782/415.
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 886/173,782/415?
Given fractions are 886/173,782/415
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 886/173,782/415, numerators are 886,782
Denominators are 173,415
The GCF of 886,782 is 2 .
LCM of 173,415 is 71795.
The greatest common factor of 886/173,782/415 = [GCF of 886,782]/[LCM of 173,415]= 2/71795
Therefore, the GCF of 886/173,782/415 is 2/71795.
To find the highest common factor of 886,782, we have to find the factors of both numbers and list the highest common factor.
The factors of 886 are 1, 2, 443, 886
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 886,782 is 2.
Lets's calculate GCF of 886,782
| 2 | 886, 782 |
| 443, 391 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 886,782 By Matching Biggest Common Factor Method
Now, list down the factors of 886
:1,2,443,886
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 886,782 . The biggest common factor number is the GCF number.
So the greatest common factor 886,782 is 2.
Lets's calculate LCM of 173,415
Given numbers has no common factors except 1. So, there LCM is their product i.e 71795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71795
Therefore, the GCF of Fractions 886/173,782/415 is 2/71795
Least Common Multiple of 173,415 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 173,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,415) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,415) x common factors =1 x 1 = 1
LCM(173,415) = ( 173 × 415 ) / 1
LCM(173,415) = 71795 / 1
LCM(173,415) = 71795
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FAQs on GCF of Fractions of 886/173, 782/415
1. What is the HCF of 886,782?
The HCF of 886,782 is 2
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 886/173, 782/415?
Answer: GCF of Numerators as per given numbers 886/173, 782/415 is
GCF of Numerators i.e. for 886,782 is 2
LCM of denominators i.e. for 173,415 is 71795.
Thus, GCF of Fractions is 2/71795.Finally, GCF of Fractions for 886/173, 782/415 is 2/71795.