GCF of 2428/409, 2390/8201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2428/409, 2390/8201 i.e 2/3354209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2428/409, 2390/8201.
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 2428/409,2390/8201?
Given fractions are 2428/409,2390/8201
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 2428/409,2390/8201, numerators are 2428,2390
Denominators are 409,8201
The GCF of 2428,2390 is 2 .
LCM of 409,8201 is 3354209.
The greatest common factor of 2428/409,2390/8201 = [GCF of 2428,2390]/[LCM of 409,8201]= 2/3354209
Therefore, the GCF of 2428/409,2390/8201 is 2/3354209.
To find the highest common factor of 2428,2390, we have to find the factors of both numbers and list the highest common factor.
The factors of 2428 are 1, 2, 4, 607, 1214, 2428
The factors of 2390 are 1, 2, 5, 10, 239, 478, 1195, 2390
The HCF of 2428,2390 is 2.
Lets's calculate GCF of 2428,2390
| 2 | 2428, 2390 |
| 1214, 1195 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2428,2390 By Matching Biggest Common Factor Method
Now, list down the factors of 2428
:1,2,4,607,1214,2428
Now, list down the factors of 2390
:1,2,5,10,239,478,1195,2390
Greatest Common Factor
We found the factors 2428,2390 . The biggest common factor number is the GCF number.
So the greatest common factor 2428,2390 is 2.
Lets's calculate LCM of 409,8201
Given numbers has no common factors except 1. So, there LCM is their product i.e 3354209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3354209
Therefore, the GCF of Fractions 2428/409,2390/8201 is 2/3354209
Least Common Multiple of 409,8201 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 409,8201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,8201) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,8201) x common factors =1 x 1 = 1
LCM(409,8201) = ( 409 × 8201 ) / 1
LCM(409,8201) = 3354209 / 1
LCM(409,8201) = 3354209
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FAQs on GCF of Fractions of 2428/409, 2390/8201
1. What is the HCF of 2428,2390?
The HCF of 2428,2390 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 2428/409, 2390/8201?
Answer: GCF of Numerators as per given numbers 2428/409, 2390/8201 is
GCF of Numerators i.e. for 2428,2390 is 2
LCM of denominators i.e. for 409,8201 is 3354209.
Thus, GCF of Fractions is 2/3354209.Finally, GCF of Fractions for 2428/409, 2390/8201 is 2/3354209.