GCF of 1905/933, 1781/7380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1905/933, 1781/7380 i.e 1/2295180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1905/933, 1781/7380.
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 1905/933,1781/7380?
Given fractions are 1905/933,1781/7380
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 1905/933,1781/7380, numerators are 1905,1781
Denominators are 933,7380
The GCF of 1905,1781 is 1 .
LCM of 933,7380 is 2295180.
The greatest common factor of 1905/933,1781/7380 = [GCF of 1905,1781]/[LCM of 933,7380]= 1/2295180
Therefore, the GCF of 1905/933,1781/7380 is 1/2295180.
To find the highest common factor of 1905,1781, we have to find the factors of both numbers and list the highest common factor.
The factors of 1905 are 1, 3, 5, 15, 127, 381, 635, 1905
The factors of 1781 are 1, 13, 137, 1781
The HCF of 1905,1781 is 1.
Lets's calculate GCF of 1905,1781
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1905,1781 By Matching Biggest Common Factor Method
Now, list down the factors of 1905
:1,3,5,15,127,381,635,1905
Now, list down the factors of 1781
:1,13,137,1781
Greatest Common Factor
We found the factors 1905,1781 . The biggest common factor number is the GCF number.
So the greatest common factor 1905,1781 is 1.
Lets's calculate LCM of 933,7380
| 3 | 933, 7380 |
| 311, 2460 |
∴ So the LCM of the given numbers is 3 x 311 x 2460 = 2295180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2295180
Therefore, the GCF of Fractions 1905/933,1781/7380 is 1/2295180
Least Common Multiple of 933,7380 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 933,7380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,7380) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(933,7380) x common factors =3 x 1 = 3
LCM(933,7380) = ( 933 × 7380 ) / 3
LCM(933,7380) = 6885540 / 3
LCM(933,7380) = 2295180
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FAQs on GCF of Fractions of 1905/933, 1781/7380
1. What is the HCF of 1905,1781?
The HCF of 1905,1781 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 1905/933, 1781/7380?
Answer: GCF of Numerators as per given numbers 1905/933, 1781/7380 is
GCF of Numerators i.e. for 1905,1781 is 1
LCM of denominators i.e. for 933,7380 is 2295180.
Thus, GCF of Fractions is 1/2295180.Finally, GCF of Fractions for 1905/933, 1781/7380 is 1/2295180.