GCF of 407/50, 832/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 407/50, 832/382 i.e 1/9550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 407/50, 832/382.
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 407/50,832/382?
Given fractions are 407/50,832/382
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 407/50,832/382, numerators are 407,832
Denominators are 50,382
The GCF of 407,832 is 1 .
LCM of 50,382 is 9550.
The greatest common factor of 407/50,832/382 = [GCF of 407,832]/[LCM of 50,382]= 1/9550
Therefore, the GCF of 407/50,832/382 is 1/9550.
To find the highest common factor of 407,832, we have to find the factors of both numbers and list the highest common factor.
The factors of 407 are 1, 11, 37, 407
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The HCF of 407,832 is 1.
Lets's calculate GCF of 407,832
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 407,832 By Matching Biggest Common Factor Method
Now, list down the factors of 407
:1,11,37,407
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 407,832 . The biggest common factor number is the GCF number.
So the greatest common factor 407,832 is 1.
Lets's calculate LCM of 50,382
| 2 | 50, 382 |
| 25, 191 |
∴ So the LCM of the given numbers is 2 x 25 x 191 = 9550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9550
Therefore, the GCF of Fractions 407/50,832/382 is 1/9550
Least Common Multiple of 50,382 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 50,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,382) x common factors =2 x 1 = 2
LCM(50,382) = ( 50 × 382 ) / 2
LCM(50,382) = 19100 / 2
LCM(50,382) = 9550
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FAQs on GCF of Fractions of 407/50, 832/382
1. What is the HCF of 407,832?
The HCF of 407,832 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 407/50, 832/382?
Answer: GCF of Numerators as per given numbers 407/50, 832/382 is
GCF of Numerators i.e. for 407,832 is 1
LCM of denominators i.e. for 50,382 is 9550.
Thus, GCF of Fractions is 1/9550.Finally, GCF of Fractions for 407/50, 832/382 is 1/9550.