GCF of 4308/821, 7893/344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4308/821, 7893/344 i.e 3/282424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4308/821, 7893/344.
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 4308/821,7893/344?
Given fractions are 4308/821,7893/344
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 4308/821,7893/344, numerators are 4308,7893
Denominators are 821,344
The GCF of 4308,7893 is 3 .
LCM of 821,344 is 282424.
The greatest common factor of 4308/821,7893/344 = [GCF of 4308,7893]/[LCM of 821,344]= 3/282424
Therefore, the GCF of 4308/821,7893/344 is 3/282424.
To find the highest common factor of 4308,7893, we have to find the factors of both numbers and list the highest common factor.
The factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308
The factors of 7893 are 1, 3, 9, 877, 2631, 7893
The HCF of 4308,7893 is 3.
Lets's calculate GCF of 4308,7893
| 3 | 4308, 7893 |
| 1436, 2631 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4308,7893 By Matching Biggest Common Factor Method
Now, list down the factors of 4308
:1,2,3,4,6,12,359,718,1077,1436,2154,4308
Now, list down the factors of 7893
:1,3,9,877,2631,7893
Greatest Common Factor
We found the factors 4308,7893 . The biggest common factor number is the GCF number.
So the greatest common factor 4308,7893 is 3.
Lets's calculate LCM of 821,344
Given numbers has no common factors except 1. So, there LCM is their product i.e 282424
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/282424
Therefore, the GCF of Fractions 4308/821,7893/344 is 3/282424
Least Common Multiple of 821,344 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 821,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,344) x common factors =1 x 1 = 1
LCM(821,344) = ( 821 × 344 ) / 1
LCM(821,344) = 282424 / 1
LCM(821,344) = 282424
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FAQs on GCF of Fractions of 4308/821, 7893/344
1. What is the HCF of 4308,7893?
The HCF of 4308,7893 is 3
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 4308/821, 7893/344?
Answer: GCF of Numerators as per given numbers 4308/821, 7893/344 is
GCF of Numerators i.e. for 4308,7893 is 3
LCM of denominators i.e. for 821,344 is 282424.
Thus, GCF of Fractions is 3/282424.Finally, GCF of Fractions for 4308/821, 7893/344 is 3/282424.