GCF of 1054/301, 8769/329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1054/301, 8769/329 i.e 1/14147 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1054/301, 8769/329.
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 1054/301,8769/329?
Given fractions are 1054/301,8769/329
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 1054/301,8769/329, numerators are 1054,8769
Denominators are 301,329
The GCF of 1054,8769 is 1 .
LCM of 301,329 is 14147.
The greatest common factor of 1054/301,8769/329 = [GCF of 1054,8769]/[LCM of 301,329]= 1/14147
Therefore, the GCF of 1054/301,8769/329 is 1/14147.
To find the highest common factor of 1054,8769, we have to find the factors of both numbers and list the highest common factor.
The factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054
The factors of 8769 are 1, 3, 37, 79, 111, 237, 2923, 8769
The HCF of 1054,8769 is 1.
Lets's calculate GCF of 1054,8769
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1054,8769 By Matching Biggest Common Factor Method
Now, list down the factors of 1054
:1,2,17,31,34,62,527,1054
Now, list down the factors of 8769
:1,3,37,79,111,237,2923,8769
Greatest Common Factor
We found the factors 1054,8769 . The biggest common factor number is the GCF number.
So the greatest common factor 1054,8769 is 1.
Lets's calculate LCM of 301,329
| 7 | 301, 329 |
| 43, 47 |
∴ So the LCM of the given numbers is 7 x 43 x 47 = 14147
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14147
Therefore, the GCF of Fractions 1054/301,8769/329 is 1/14147
Least Common Multiple of 301,329 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 301,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(301,329) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(301,329) x common factors =7 x 1 = 7
LCM(301,329) = ( 301 × 329 ) / 7
LCM(301,329) = 99029 / 7
LCM(301,329) = 14147
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FAQs on GCF of Fractions of 1054/301, 8769/329
1. What is the HCF of 1054,8769?
The HCF of 1054,8769 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 1054/301, 8769/329?
Answer: GCF of Numerators as per given numbers 1054/301, 8769/329 is
GCF of Numerators i.e. for 1054,8769 is 1
LCM of denominators i.e. for 301,329 is 14147.
Thus, GCF of Fractions is 1/14147.Finally, GCF of Fractions for 1054/301, 8769/329 is 1/14147.