GCF of 2313/768, 4833/1364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2313/768, 4833/1364 i.e 9/261888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2313/768, 4833/1364.
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 2313/768,4833/1364?
Given fractions are 2313/768,4833/1364
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 2313/768,4833/1364, numerators are 2313,4833
Denominators are 768,1364
The GCF of 2313,4833 is 9 .
LCM of 768,1364 is 261888.
The greatest common factor of 2313/768,4833/1364 = [GCF of 2313,4833]/[LCM of 768,1364]= 9/261888
Therefore, the GCF of 2313/768,4833/1364 is 9/261888.
To find the highest common factor of 2313,4833, we have to find the factors of both numbers and list the highest common factor.
The factors of 2313 are 1, 3, 9, 257, 771, 2313
The factors of 4833 are 1, 3, 9, 27, 179, 537, 1611, 4833
The HCF of 2313,4833 is 9.
Lets's calculate GCF of 2313,4833
| 3 | 2313, 4833 |
| 3 | 771, 1611 |
| 257, 537 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2313,4833 By Matching Biggest Common Factor Method
Now, list down the factors of 2313
:1,3,9,257,771,2313
Now, list down the factors of 4833
:1,3,9,27,179,537,1611,4833
Greatest Common Factor
We found the factors 2313,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 2313,4833 is 9.
Lets's calculate LCM of 768,1364
| 2 | 768, 1364 |
| 2 | 384, 682 |
| 192, 341 |
∴ So the LCM of the given numbers is 2 x 2 x 192 x 341 = 261888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/261888
Therefore, the GCF of Fractions 2313/768,4833/1364 is 9/261888
Least Common Multiple of 768,1364 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 768,1364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,1364) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(768,1364) x common factors =4 x 1 = 4
LCM(768,1364) = ( 768 × 1364 ) / 4
LCM(768,1364) = 1047552 / 4
LCM(768,1364) = 261888
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FAQs on GCF of Fractions of 2313/768, 4833/1364
1. What is the HCF of 2313,4833?
The HCF of 2313,4833 is 9
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 2313/768, 4833/1364?
Answer: GCF of Numerators as per given numbers 2313/768, 4833/1364 is
GCF of Numerators i.e. for 2313,4833 is 9
LCM of denominators i.e. for 768,1364 is 261888.
Thus, GCF of Fractions is 9/261888.Finally, GCF of Fractions for 2313/768, 4833/1364 is 9/261888.