GCF of 4428/478, 6002/6473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4428/478, 6002/6473 i.e 2/3094094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4428/478, 6002/6473.
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 4428/478,6002/6473?
Given fractions are 4428/478,6002/6473
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 4428/478,6002/6473, numerators are 4428,6002
Denominators are 478,6473
The GCF of 4428,6002 is 2 .
LCM of 478,6473 is 3094094.
The greatest common factor of 4428/478,6002/6473 = [GCF of 4428,6002]/[LCM of 478,6473]= 2/3094094
Therefore, the GCF of 4428/478,6002/6473 is 2/3094094.
To find the highest common factor of 4428,6002, we have to find the factors of both numbers and list the highest common factor.
The factors of 4428 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 41, 54, 82, 108, 123, 164, 246, 369, 492, 738, 1107, 1476, 2214, 4428
The factors of 6002 are 1, 2, 3001, 6002
The HCF of 4428,6002 is 2.
Lets's calculate GCF of 4428,6002
| 2 | 4428, 6002 |
| 2214, 3001 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4428,6002 By Matching Biggest Common Factor Method
Now, list down the factors of 4428
:1,2,3,4,6,9,12,18,27,36,41,54,82,108,123,164,246,369,492,738,1107,1476,2214,4428
Now, list down the factors of 6002
:1,2,3001,6002
Greatest Common Factor
We found the factors 4428,6002 . The biggest common factor number is the GCF number.
So the greatest common factor 4428,6002 is 2.
Lets's calculate LCM of 478,6473
Given numbers has no common factors except 1. So, there LCM is their product i.e 3094094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3094094
Therefore, the GCF of Fractions 4428/478,6002/6473 is 2/3094094
Least Common Multiple of 478,6473 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 478,6473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,6473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,6473) x common factors =1 x 1 = 1
LCM(478,6473) = ( 478 × 6473 ) / 1
LCM(478,6473) = 3094094 / 1
LCM(478,6473) = 3094094
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4428/478, 6002/6473
1. What is the HCF of 4428,6002?
The HCF of 4428,6002 is 2
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 4428/478, 6002/6473?
Answer: GCF of Numerators as per given numbers 4428/478, 6002/6473 is
GCF of Numerators i.e. for 4428,6002 is 2
LCM of denominators i.e. for 478,6473 is 3094094.
Thus, GCF of Fractions is 2/3094094.Finally, GCF of Fractions for 4428/478, 6002/6473 is 2/3094094.