GCF of 4383/965, 6420/2443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4383/965, 6420/2443 i.e 3/2357495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4383/965, 6420/2443.
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 4383/965,6420/2443?
Given fractions are 4383/965,6420/2443
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 4383/965,6420/2443, numerators are 4383,6420
Denominators are 965,2443
The GCF of 4383,6420 is 3 .
LCM of 965,2443 is 2357495.
The greatest common factor of 4383/965,6420/2443 = [GCF of 4383,6420]/[LCM of 965,2443]= 3/2357495
Therefore, the GCF of 4383/965,6420/2443 is 3/2357495.
To find the highest common factor of 4383,6420, we have to find the factors of both numbers and list the highest common factor.
The factors of 4383 are 1, 3, 9, 487, 1461, 4383
The factors of 6420 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 107, 214, 321, 428, 535, 642, 1070, 1284, 1605, 2140, 3210, 6420
The HCF of 4383,6420 is 3.
Lets's calculate GCF of 4383,6420
| 3 | 4383, 6420 |
| 1461, 2140 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4383,6420 By Matching Biggest Common Factor Method
Now, list down the factors of 4383
:1,3,9,487,1461,4383
Now, list down the factors of 6420
:1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420
Greatest Common Factor
We found the factors 4383,6420 . The biggest common factor number is the GCF number.
So the greatest common factor 4383,6420 is 3.
Lets's calculate LCM of 965,2443
Given numbers has no common factors except 1. So, there LCM is their product i.e 2357495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2357495
Therefore, the GCF of Fractions 4383/965,6420/2443 is 3/2357495
Least Common Multiple of 965,2443 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 965,2443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,2443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(965,2443) x common factors =1 x 1 = 1
LCM(965,2443) = ( 965 × 2443 ) / 1
LCM(965,2443) = 2357495 / 1
LCM(965,2443) = 2357495
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4383/965, 6420/2443
1. What is the HCF of 4383,6420?
The HCF of 4383,6420 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 4383/965, 6420/2443?
Answer: GCF of Numerators as per given numbers 4383/965, 6420/2443 is
GCF of Numerators i.e. for 4383,6420 is 3
LCM of denominators i.e. for 965,2443 is 2357495.
Thus, GCF of Fractions is 3/2357495.Finally, GCF of Fractions for 4383/965, 6420/2443 is 3/2357495.