GCF of 8147/513, 9028/9675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8147/513, 9028/9675 i.e 1/551475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8147/513, 9028/9675.
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 8147/513,9028/9675?
Given fractions are 8147/513,9028/9675
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 8147/513,9028/9675, numerators are 8147,9028
Denominators are 513,9675
The GCF of 8147,9028 is 1 .
LCM of 513,9675 is 551475.
The greatest common factor of 8147/513,9028/9675 = [GCF of 8147,9028]/[LCM of 513,9675]= 1/551475
Therefore, the GCF of 8147/513,9028/9675 is 1/551475.
To find the highest common factor of 8147,9028, we have to find the factors of both numbers and list the highest common factor.
The factors of 8147 are 1, 8147
The factors of 9028 are 1, 2, 4, 37, 61, 74, 122, 148, 244, 2257, 4514, 9028
The HCF of 8147,9028 is 1.
Lets's calculate GCF of 8147,9028
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8147,9028 By Matching Biggest Common Factor Method
Now, list down the factors of 8147
:1,8147
Now, list down the factors of 9028
:1,2,4,37,61,74,122,148,244,2257,4514,9028
Greatest Common Factor
We found the factors 8147,9028 . The biggest common factor number is the GCF number.
So the greatest common factor 8147,9028 is 1.
Lets's calculate LCM of 513,9675
| 3 | 513, 9675 |
| 3 | 171, 3225 |
| 57, 1075 |
∴ So the LCM of the given numbers is 3 x 3 x 57 x 1075 = 551475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/551475
Therefore, the GCF of Fractions 8147/513,9028/9675 is 1/551475
Least Common Multiple of 513,9675 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 513,9675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,9675) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(513,9675) x common factors =9 x 1 = 9
LCM(513,9675) = ( 513 × 9675 ) / 9
LCM(513,9675) = 4963275 / 9
LCM(513,9675) = 551475
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FAQs on GCF of Fractions of 8147/513, 9028/9675
1. What is the HCF of 8147,9028?
The HCF of 8147,9028 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 8147/513, 9028/9675?
Answer: GCF of Numerators as per given numbers 8147/513, 9028/9675 is
GCF of Numerators i.e. for 8147,9028 is 1
LCM of denominators i.e. for 513,9675 is 551475.
Thus, GCF of Fractions is 1/551475.Finally, GCF of Fractions for 8147/513, 9028/9675 is 1/551475.