GCF of 8144/733, 1688/1893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8144/733, 1688/1893 i.e 8/1387569 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8144/733, 1688/1893.
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 8144/733,1688/1893?
Given fractions are 8144/733,1688/1893
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 8144/733,1688/1893, numerators are 8144,1688
Denominators are 733,1893
The GCF of 8144,1688 is 8 .
LCM of 733,1893 is 1387569.
The greatest common factor of 8144/733,1688/1893 = [GCF of 8144,1688]/[LCM of 733,1893]= 8/1387569
Therefore, the GCF of 8144/733,1688/1893 is 8/1387569.
To find the highest common factor of 8144,1688, we have to find the factors of both numbers and list the highest common factor.
The factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144
The factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688
The HCF of 8144,1688 is 8.
Lets's calculate GCF of 8144,1688
| 2 | 8144, 1688 |
| 2 | 4072, 844 |
| 2 | 2036, 422 |
| 1018, 211 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 8144,1688 By Matching Biggest Common Factor Method
Now, list down the factors of 8144
:1,2,4,8,16,509,1018,2036,4072,8144
Now, list down the factors of 1688
:1,2,4,8,211,422,844,1688
Greatest Common Factor
We found the factors 8144,1688 . The biggest common factor number is the GCF number.
So the greatest common factor 8144,1688 is 8.
Lets's calculate LCM of 733,1893
Given numbers has no common factors except 1. So, there LCM is their product i.e 1387569
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1387569
Therefore, the GCF of Fractions 8144/733,1688/1893 is 8/1387569
Least Common Multiple of 733,1893 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 733,1893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,1893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,1893) x common factors =1 x 1 = 1
LCM(733,1893) = ( 733 × 1893 ) / 1
LCM(733,1893) = 1387569 / 1
LCM(733,1893) = 1387569
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FAQs on GCF of Fractions of 8144/733, 1688/1893
1. What is the HCF of 8144,1688?
The HCF of 8144,1688 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 8144/733, 1688/1893?
Answer: GCF of Numerators as per given numbers 8144/733, 1688/1893 is
GCF of Numerators i.e. for 8144,1688 is 8
LCM of denominators i.e. for 733,1893 is 1387569.
Thus, GCF of Fractions is 8/1387569.Finally, GCF of Fractions for 8144/733, 1688/1893 is 8/1387569.