GCF of 896/814, 8652/388
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 896/814, 8652/388 i.e 28/157916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/814, 8652/388.
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 896/814,8652/388?
Given fractions are 896/814,8652/388
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 896/814,8652/388, numerators are 896,8652
Denominators are 814,388
The GCF of 896,8652 is 28 .
LCM of 814,388 is 157916.
The greatest common factor of 896/814,8652/388 = [GCF of 896,8652]/[LCM of 814,388]= 28/157916
Therefore, the GCF of 896/814,8652/388 is 28/157916.
To find the highest common factor of 896,8652, we have to find the factors of both numbers and list the highest common factor.
The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
The factors of 8652 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652
The HCF of 896,8652 is 28.
Lets's calculate GCF of 896,8652
| 2 | 896, 8652 |
| 2 | 448, 4326 |
| 7 | 224, 2163 |
| 32, 309 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 896,8652 By Matching Biggest Common Factor Method
Now, list down the factors of 896
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Now, list down the factors of 8652
:1,2,3,4,6,7,12,14,21,28,42,84,103,206,309,412,618,721,1236,1442,2163,2884,4326,8652
Greatest Common Factor
We found the factors 896,8652 . The biggest common factor number is the GCF number.
So the greatest common factor 896,8652 is 28.
Lets's calculate LCM of 814,388
| 2 | 814, 388 |
| 407, 194 |
∴ So the LCM of the given numbers is 2 x 407 x 194 = 157916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/157916
Therefore, the GCF of Fractions 896/814,8652/388 is 28/157916
Least Common Multiple of 814,388 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 814,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,388) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,388) x common factors =2 x 1 = 2
LCM(814,388) = ( 814 × 388 ) / 2
LCM(814,388) = 315832 / 2
LCM(814,388) = 157916
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FAQs on GCF of Fractions of 896/814, 8652/388
1. What is the HCF of 896,8652?
The HCF of 896,8652 is 28
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 896/814, 8652/388?
Answer: GCF of Numerators as per given numbers 896/814, 8652/388 is
GCF of Numerators i.e. for 896,8652 is 28
LCM of denominators i.e. for 814,388 is 157916.
Thus, GCF of Fractions is 28/157916.Finally, GCF of Fractions for 896/814, 8652/388 is 28/157916.