GCF of 5808/389, 9782/401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5808/389, 9782/401 i.e 2/155989 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5808/389, 9782/401.
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 5808/389,9782/401?
Given fractions are 5808/389,9782/401
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 5808/389,9782/401, numerators are 5808,9782
Denominators are 389,401
The GCF of 5808,9782 is 2 .
LCM of 389,401 is 155989.
The greatest common factor of 5808/389,9782/401 = [GCF of 5808,9782]/[LCM of 389,401]= 2/155989
Therefore, the GCF of 5808/389,9782/401 is 2/155989.
To find the highest common factor of 5808,9782, we have to find the factors of both numbers and list the highest common factor.
The factors of 5808 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 121, 132, 176, 242, 264, 363, 484, 528, 726, 968, 1452, 1936, 2904, 5808
The factors of 9782 are 1, 2, 67, 73, 134, 146, 4891, 9782
The HCF of 5808,9782 is 2.
Lets's calculate GCF of 5808,9782
| 2 | 5808, 9782 |
| 2904, 4891 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5808,9782 By Matching Biggest Common Factor Method
Now, list down the factors of 5808
:1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,121,132,176,242,264,363,484,528,726,968,1452,1936,2904,5808
Now, list down the factors of 9782
:1,2,67,73,134,146,4891,9782
Greatest Common Factor
We found the factors 5808,9782 . The biggest common factor number is the GCF number.
So the greatest common factor 5808,9782 is 2.
Lets's calculate LCM of 389,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 155989
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/155989
Therefore, the GCF of Fractions 5808/389,9782/401 is 2/155989
Least Common Multiple of 389,401 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 389,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,401) x common factors =1 x 1 = 1
LCM(389,401) = ( 389 × 401 ) / 1
LCM(389,401) = 155989 / 1
LCM(389,401) = 155989
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FAQs on GCF of Fractions of 5808/389, 9782/401
1. What is the HCF of 5808,9782?
The HCF of 5808,9782 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 5808/389, 9782/401?
Answer: GCF of Numerators as per given numbers 5808/389, 9782/401 is
GCF of Numerators i.e. for 5808,9782 is 2
LCM of denominators i.e. for 389,401 is 155989.
Thus, GCF of Fractions is 2/155989.Finally, GCF of Fractions for 5808/389, 9782/401 is 2/155989.