GCF of 4519/316, 9258/328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4519/316, 9258/328 i.e 1/25912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4519/316, 9258/328.
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 4519/316,9258/328?
Given fractions are 4519/316,9258/328
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 4519/316,9258/328, numerators are 4519,9258
Denominators are 316,328
The GCF of 4519,9258 is 1 .
LCM of 316,328 is 25912.
The greatest common factor of 4519/316,9258/328 = [GCF of 4519,9258]/[LCM of 316,328]= 1/25912
Therefore, the GCF of 4519/316,9258/328 is 1/25912.
To find the highest common factor of 4519,9258, we have to find the factors of both numbers and list the highest common factor.
The factors of 4519 are 1, 4519
The factors of 9258 are 1, 2, 3, 6, 1543, 3086, 4629, 9258
The HCF of 4519,9258 is 1.
Lets's calculate GCF of 4519,9258
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4519,9258 By Matching Biggest Common Factor Method
Now, list down the factors of 4519
:1,4519
Now, list down the factors of 9258
:1,2,3,6,1543,3086,4629,9258
Greatest Common Factor
We found the factors 4519,9258 . The biggest common factor number is the GCF number.
So the greatest common factor 4519,9258 is 1.
Lets's calculate LCM of 316,328
| 2 | 316, 328 |
| 2 | 158, 164 |
| 79, 82 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 82 = 25912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25912
Therefore, the GCF of Fractions 4519/316,9258/328 is 1/25912
Least Common Multiple of 316,328 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 316,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,328) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,328) x common factors =4 x 1 = 4
LCM(316,328) = ( 316 × 328 ) / 4
LCM(316,328) = 103648 / 4
LCM(316,328) = 25912
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FAQs on GCF of Fractions of 4519/316, 9258/328
1. What is the HCF of 4519,9258?
The HCF of 4519,9258 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 4519/316, 9258/328?
Answer: GCF of Numerators as per given numbers 4519/316, 9258/328 is
GCF of Numerators i.e. for 4519,9258 is 1
LCM of denominators i.e. for 316,328 is 25912.
Thus, GCF of Fractions is 1/25912.Finally, GCF of Fractions for 4519/316, 9258/328 is 1/25912.