GCF of 1845/113, 5781/4983
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1845/113, 5781/4983 i.e 123/563079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1845/113, 5781/4983.
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 1845/113,5781/4983?
Given fractions are 1845/113,5781/4983
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 1845/113,5781/4983, numerators are 1845,5781
Denominators are 113,4983
The GCF of 1845,5781 is 123 .
LCM of 113,4983 is 563079.
The greatest common factor of 1845/113,5781/4983 = [GCF of 1845,5781]/[LCM of 113,4983]= 123/563079
Therefore, the GCF of 1845/113,5781/4983 is 123/563079.
To find the highest common factor of 1845,5781, we have to find the factors of both numbers and list the highest common factor.
The factors of 1845 are 1, 3, 5, 9, 15, 41, 45, 123, 205, 369, 615, 1845
The factors of 5781 are 1, 3, 41, 47, 123, 141, 1927, 5781
The HCF of 1845,5781 is 123.
Lets's calculate GCF of 1845,5781
| 3 | 1845, 5781 |
| 41 | 615, 1927 |
| 15, 47 |
∴ So the GCF of the given numbers is 3 x 41 = 123
Greatest Common Factor of 1845,5781 By Matching Biggest Common Factor Method
Now, list down the factors of 1845
:1,3,5,9,15,41,45,123,205,369,615,1845
Now, list down the factors of 5781
:1,3,41,47,123,141,1927,5781
Greatest Common Factor
We found the factors 1845,5781 . The biggest common factor number is the GCF number.
So the greatest common factor 1845,5781 is 123.
Lets's calculate LCM of 113,4983
Given numbers has no common factors except 1. So, there LCM is their product i.e 563079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 123/563079
Therefore, the GCF of Fractions 1845/113,5781/4983 is 123/563079
Least Common Multiple of 113,4983 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 113,4983 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(113,4983) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(113,4983) x common factors =1 x 1 = 1
LCM(113,4983) = ( 113 × 4983 ) / 1
LCM(113,4983) = 563079 / 1
LCM(113,4983) = 563079
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FAQs on GCF of Fractions of 1845/113, 5781/4983
1. What is the HCF of 1845,5781?
The HCF of 1845,5781 is 123
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 1845/113, 5781/4983?
Answer: GCF of Numerators as per given numbers 1845/113, 5781/4983 is
GCF of Numerators i.e. for 1845,5781 is 123
LCM of denominators i.e. for 113,4983 is 563079.
Thus, GCF of Fractions is 123/563079.Finally, GCF of Fractions for 1845/113, 5781/4983 is 123/563079.