GCF of 832/582, 512/334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 832/582, 512/334 i.e 64/97194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/582, 512/334.
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 832/582,512/334?
Given fractions are 832/582,512/334
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 832/582,512/334, numerators are 832,512
Denominators are 582,334
The GCF of 832,512 is 64 .
LCM of 582,334 is 97194.
The greatest common factor of 832/582,512/334 = [GCF of 832,512]/[LCM of 582,334]= 64/97194
Therefore, the GCF of 832/582,512/334 is 64/97194.
To find the highest common factor of 832,512, we have to find the factors of both numbers and list the highest common factor.
The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
The factors of 512 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
The HCF of 832,512 is 64.
Lets's calculate GCF of 832,512
| 2 | 832, 512 |
| 2 | 416, 256 |
| 2 | 208, 128 |
| 2 | 104, 64 |
| 2 | 52, 32 |
| 2 | 26, 16 |
| 13, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 832,512 By Matching Biggest Common Factor Method
Now, list down the factors of 832
:1,2,4,8,13,16,26,32,52,64,104,208,416,832
Now, list down the factors of 512
:1,2,4,8,16,32,64,128,256,512
Greatest Common Factor
We found the factors 832,512 . The biggest common factor number is the GCF number.
So the greatest common factor 832,512 is 64.
Lets's calculate LCM of 582,334
| 2 | 582, 334 |
| 291, 167 |
∴ So the LCM of the given numbers is 2 x 291 x 167 = 97194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/97194
Therefore, the GCF of Fractions 832/582,512/334 is 64/97194
Least Common Multiple of 582,334 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 582,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,334) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(582,334) x common factors =2 x 1 = 2
LCM(582,334) = ( 582 × 334 ) / 2
LCM(582,334) = 194388 / 2
LCM(582,334) = 97194
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FAQs on GCF of Fractions of 832/582, 512/334
1. What is the HCF of 832,512?
The HCF of 832,512 is 64
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 832/582, 512/334?
Answer: GCF of Numerators as per given numbers 832/582, 512/334 is
GCF of Numerators i.e. for 832,512 is 64
LCM of denominators i.e. for 582,334 is 97194.
Thus, GCF of Fractions is 64/97194.Finally, GCF of Fractions for 832/582, 512/334 is 64/97194.