GCF of 832/24, 696/238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 832/24, 696/238 i.e 8/2856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/24, 696/238.
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 832/24,696/238?
Given fractions are 832/24,696/238
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 832/24,696/238, numerators are 832,696
Denominators are 24,238
The GCF of 832,696 is 8 .
LCM of 24,238 is 2856.
The greatest common factor of 832/24,696/238 = [GCF of 832,696]/[LCM of 24,238]= 8/2856
Therefore, the GCF of 832/24,696/238 is 8/2856.
To find the highest common factor of 832,696, 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 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
The HCF of 832,696 is 8.
Lets's calculate GCF of 832,696
| 2 | 832, 696 |
| 2 | 416, 348 |
| 2 | 208, 174 |
| 104, 87 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 832,696 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 696
:1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Greatest Common Factor
We found the factors 832,696 . The biggest common factor number is the GCF number.
So the greatest common factor 832,696 is 8.
Lets's calculate LCM of 24,238
| 2 | 24, 238 |
| 12, 119 |
∴ So the LCM of the given numbers is 2 x 12 x 119 = 2856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2856
Therefore, the GCF of Fractions 832/24,696/238 is 8/2856
Least Common Multiple of 24,238 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 24,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,238) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(24,238) x common factors =2 x 1 = 2
LCM(24,238) = ( 24 × 238 ) / 2
LCM(24,238) = 5712 / 2
LCM(24,238) = 2856
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FAQs on GCF of Fractions of 832/24, 696/238
1. What is the HCF of 832,696?
The HCF of 832,696 is 8
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 832/24, 696/238?
Answer: GCF of Numerators as per given numbers 832/24, 696/238 is
GCF of Numerators i.e. for 832,696 is 8
LCM of denominators i.e. for 24,238 is 2856.
Thus, GCF of Fractions is 8/2856.Finally, GCF of Fractions for 832/24, 696/238 is 8/2856.