GCF of 1381/933, 5105/3900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1381/933, 5105/3900 i.e 1/1212900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1381/933, 5105/3900.
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 1381/933,5105/3900?
Given fractions are 1381/933,5105/3900
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 1381/933,5105/3900, numerators are 1381,5105
Denominators are 933,3900
The GCF of 1381,5105 is 1 .
LCM of 933,3900 is 1212900.
The greatest common factor of 1381/933,5105/3900 = [GCF of 1381,5105]/[LCM of 933,3900]= 1/1212900
Therefore, the GCF of 1381/933,5105/3900 is 1/1212900.
To find the highest common factor of 1381,5105, we have to find the factors of both numbers and list the highest common factor.
The factors of 1381 are 1, 1381
The factors of 5105 are 1, 5, 1021, 5105
The HCF of 1381,5105 is 1.
Lets's calculate GCF of 1381,5105
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1381,5105 By Matching Biggest Common Factor Method
Now, list down the factors of 1381
:1,1381
Now, list down the factors of 5105
:1,5,1021,5105
Greatest Common Factor
We found the factors 1381,5105 . The biggest common factor number is the GCF number.
So the greatest common factor 1381,5105 is 1.
Lets's calculate LCM of 933,3900
| 3 | 933, 3900 |
| 311, 1300 |
∴ So the LCM of the given numbers is 3 x 311 x 1300 = 1212900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1212900
Therefore, the GCF of Fractions 1381/933,5105/3900 is 1/1212900
Least Common Multiple of 933,3900 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 933,3900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,3900) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(933,3900) x common factors =3 x 1 = 3
LCM(933,3900) = ( 933 × 3900 ) / 3
LCM(933,3900) = 3638700 / 3
LCM(933,3900) = 1212900
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FAQs on GCF of Fractions of 1381/933, 5105/3900
1. What is the HCF of 1381,5105?
The HCF of 1381,5105 is 1
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 1381/933, 5105/3900?
Answer: GCF of Numerators as per given numbers 1381/933, 5105/3900 is
GCF of Numerators i.e. for 1381,5105 is 1
LCM of denominators i.e. for 933,3900 is 1212900.
Thus, GCF of Fractions is 1/1212900.Finally, GCF of Fractions for 1381/933, 5105/3900 is 1/1212900.