GCF of 5980/831, 5325/9855
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5980/831, 5325/9855 i.e 5/2729835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5980/831, 5325/9855.
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 5980/831,5325/9855?
Given fractions are 5980/831,5325/9855
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 5980/831,5325/9855, numerators are 5980,5325
Denominators are 831,9855
The GCF of 5980,5325 is 5 .
LCM of 831,9855 is 2729835.
The greatest common factor of 5980/831,5325/9855 = [GCF of 5980,5325]/[LCM of 831,9855]= 5/2729835
Therefore, the GCF of 5980/831,5325/9855 is 5/2729835.
To find the highest common factor of 5980,5325, we have to find the factors of both numbers and list the highest common factor.
The factors of 5980 are 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980
The factors of 5325 are 1, 3, 5, 15, 25, 71, 75, 213, 355, 1065, 1775, 5325
The HCF of 5980,5325 is 5.
Lets's calculate GCF of 5980,5325
| 5 | 5980, 5325 |
| 1196, 1065 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5980,5325 By Matching Biggest Common Factor Method
Now, list down the factors of 5980
:1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980
Now, list down the factors of 5325
:1,3,5,15,25,71,75,213,355,1065,1775,5325
Greatest Common Factor
We found the factors 5980,5325 . The biggest common factor number is the GCF number.
So the greatest common factor 5980,5325 is 5.
Lets's calculate LCM of 831,9855
| 3 | 831, 9855 |
| 277, 3285 |
∴ So the LCM of the given numbers is 3 x 277 x 3285 = 2729835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2729835
Therefore, the GCF of Fractions 5980/831,5325/9855 is 5/2729835
Least Common Multiple of 831,9855 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 831,9855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,9855) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(831,9855) x common factors =3 x 1 = 3
LCM(831,9855) = ( 831 × 9855 ) / 3
LCM(831,9855) = 8189505 / 3
LCM(831,9855) = 2729835
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5980/831, 5325/9855
1. What is the HCF of 5980,5325?
The HCF of 5980,5325 is 5
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 5980/831, 5325/9855?
Answer: GCF of Numerators as per given numbers 5980/831, 5325/9855 is
GCF of Numerators i.e. for 5980,5325 is 5
LCM of denominators i.e. for 831,9855 is 2729835.
Thus, GCF of Fractions is 5/2729835.Finally, GCF of Fractions for 5980/831, 5325/9855 is 5/2729835.