GCF of 857/832, 286/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 857/832, 286/382 i.e 1/158912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 857/832, 286/382.
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 857/832,286/382?
Given fractions are 857/832,286/382
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 857/832,286/382, numerators are 857,286
Denominators are 832,382
The GCF of 857,286 is 1 .
LCM of 832,382 is 158912.
The greatest common factor of 857/832,286/382 = [GCF of 857,286]/[LCM of 832,382]= 1/158912
Therefore, the GCF of 857/832,286/382 is 1/158912.
To find the highest common factor of 857,286, we have to find the factors of both numbers and list the highest common factor.
The factors of 857 are 1, 857
The factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286
The HCF of 857,286 is 1.
Lets's calculate GCF of 857,286
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 857,286 By Matching Biggest Common Factor Method
Now, list down the factors of 857
:1,857
Now, list down the factors of 286
:1,2,11,13,22,26,143,286
Greatest Common Factor
We found the factors 857,286 . The biggest common factor number is the GCF number.
So the greatest common factor 857,286 is 1.
Lets's calculate LCM of 832,382
| 2 | 832, 382 |
| 416, 191 |
∴ So the LCM of the given numbers is 2 x 416 x 191 = 158912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158912
Therefore, the GCF of Fractions 857/832,286/382 is 1/158912
Least Common Multiple of 832,382 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 832,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(832,382) x common factors =2 x 1 = 2
LCM(832,382) = ( 832 × 382 ) / 2
LCM(832,382) = 317824 / 2
LCM(832,382) = 158912
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FAQs on GCF of Fractions of 857/832, 286/382
1. What is the HCF of 857,286?
The HCF of 857,286 is 1
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 857/832, 286/382?
Answer: GCF of Numerators as per given numbers 857/832, 286/382 is
GCF of Numerators i.e. for 857,286 is 1
LCM of denominators i.e. for 832,382 is 158912.
Thus, GCF of Fractions is 1/158912.Finally, GCF of Fractions for 857/832, 286/382 is 1/158912.