GCF of 1028/512, 1701/2508
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1028/512, 1701/2508 i.e 1/321024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1028/512, 1701/2508.
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 1028/512,1701/2508?
Given fractions are 1028/512,1701/2508
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 1028/512,1701/2508, numerators are 1028,1701
Denominators are 512,2508
The GCF of 1028,1701 is 1 .
LCM of 512,2508 is 321024.
The greatest common factor of 1028/512,1701/2508 = [GCF of 1028,1701]/[LCM of 512,2508]= 1/321024
Therefore, the GCF of 1028/512,1701/2508 is 1/321024.
To find the highest common factor of 1028,1701, we have to find the factors of both numbers and list the highest common factor.
The factors of 1028 are 1, 2, 4, 257, 514, 1028
The factors of 1701 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701
The HCF of 1028,1701 is 1.
Lets's calculate GCF of 1028,1701
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1028,1701 By Matching Biggest Common Factor Method
Now, list down the factors of 1028
:1,2,4,257,514,1028
Now, list down the factors of 1701
:1,3,7,9,21,27,63,81,189,243,567,1701
Greatest Common Factor
We found the factors 1028,1701 . The biggest common factor number is the GCF number.
So the greatest common factor 1028,1701 is 1.
Lets's calculate LCM of 512,2508
| 2 | 512, 2508 |
| 2 | 256, 1254 |
| 128, 627 |
∴ So the LCM of the given numbers is 2 x 2 x 128 x 627 = 321024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321024
Therefore, the GCF of Fractions 1028/512,1701/2508 is 1/321024
Least Common Multiple of 512,2508 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 512,2508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,2508) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(512,2508) x common factors =4 x 1 = 4
LCM(512,2508) = ( 512 × 2508 ) / 4
LCM(512,2508) = 1284096 / 4
LCM(512,2508) = 321024
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FAQs on GCF of Fractions of 1028/512, 1701/2508
1. What is the HCF of 1028,1701?
The HCF of 1028,1701 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 1028/512, 1701/2508?
Answer: GCF of Numerators as per given numbers 1028/512, 1701/2508 is
GCF of Numerators i.e. for 1028,1701 is 1
LCM of denominators i.e. for 512,2508 is 321024.
Thus, GCF of Fractions is 1/321024.Finally, GCF of Fractions for 1028/512, 1701/2508 is 1/321024.