GCF of 4390/391, 3180/8191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4390/391, 3180/8191 i.e 10/3202681 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4390/391, 3180/8191.
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 4390/391,3180/8191?
Given fractions are 4390/391,3180/8191
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 4390/391,3180/8191, numerators are 4390,3180
Denominators are 391,8191
The GCF of 4390,3180 is 10 .
LCM of 391,8191 is 3202681.
The greatest common factor of 4390/391,3180/8191 = [GCF of 4390,3180]/[LCM of 391,8191]= 10/3202681
Therefore, the GCF of 4390/391,3180/8191 is 10/3202681.
To find the highest common factor of 4390,3180, we have to find the factors of both numbers and list the highest common factor.
The factors of 4390 are 1, 2, 5, 10, 439, 878, 2195, 4390
The factors of 3180 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 53, 60, 106, 159, 212, 265, 318, 530, 636, 795, 1060, 1590, 3180
The HCF of 4390,3180 is 10.
Lets's calculate GCF of 4390,3180
| 2 | 4390, 3180 |
| 5 | 2195, 1590 |
| 439, 318 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4390,3180 By Matching Biggest Common Factor Method
Now, list down the factors of 4390
:1,2,5,10,439,878,2195,4390
Now, list down the factors of 3180
:1,2,3,4,5,6,10,12,15,20,30,53,60,106,159,212,265,318,530,636,795,1060,1590,3180
Greatest Common Factor
We found the factors 4390,3180 . The biggest common factor number is the GCF number.
So the greatest common factor 4390,3180 is 10.
Lets's calculate LCM of 391,8191
Given numbers has no common factors except 1. So, there LCM is their product i.e 3202681
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3202681
Therefore, the GCF of Fractions 4390/391,3180/8191 is 10/3202681
Least Common Multiple of 391,8191 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 391,8191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,8191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,8191) x common factors =1 x 1 = 1
LCM(391,8191) = ( 391 × 8191 ) / 1
LCM(391,8191) = 3202681 / 1
LCM(391,8191) = 3202681
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FAQs on GCF of Fractions of 4390/391, 3180/8191
1. What is the HCF of 4390,3180?
The HCF of 4390,3180 is 10
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 4390/391, 3180/8191?
Answer: GCF of Numerators as per given numbers 4390/391, 3180/8191 is
GCF of Numerators i.e. for 4390,3180 is 10
LCM of denominators i.e. for 391,8191 is 3202681.
Thus, GCF of Fractions is 10/3202681.Finally, GCF of Fractions for 4390/391, 3180/8191 is 10/3202681.