GCF of 1845/524, 7391/1760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1845/524, 7391/1760 i.e 1/230560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1845/524, 7391/1760.
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 1845/524,7391/1760?
Given fractions are 1845/524,7391/1760
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 1845/524,7391/1760, numerators are 1845,7391
Denominators are 524,1760
The GCF of 1845,7391 is 1 .
LCM of 524,1760 is 230560.
The greatest common factor of 1845/524,7391/1760 = [GCF of 1845,7391]/[LCM of 524,1760]= 1/230560
Therefore, the GCF of 1845/524,7391/1760 is 1/230560.
To find the highest common factor of 1845,7391, 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 7391 are 1, 19, 389, 7391
The HCF of 1845,7391 is 1.
Lets's calculate GCF of 1845,7391
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1845,7391 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 7391
:1,19,389,7391
Greatest Common Factor
We found the factors 1845,7391 . The biggest common factor number is the GCF number.
So the greatest common factor 1845,7391 is 1.
Lets's calculate LCM of 524,1760
| 2 | 524, 1760 |
| 2 | 262, 880 |
| 131, 440 |
∴ So the LCM of the given numbers is 2 x 2 x 131 x 440 = 230560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230560
Therefore, the GCF of Fractions 1845/524,7391/1760 is 1/230560
Least Common Multiple of 524,1760 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 524,1760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(524,1760) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(524,1760) x common factors =4 x 1 = 4
LCM(524,1760) = ( 524 × 1760 ) / 4
LCM(524,1760) = 922240 / 4
LCM(524,1760) = 230560
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FAQs on GCF of Fractions of 1845/524, 7391/1760
1. What is the HCF of 1845,7391?
The HCF of 1845,7391 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 1845/524, 7391/1760?
Answer: GCF of Numerators as per given numbers 1845/524, 7391/1760 is
GCF of Numerators i.e. for 1845,7391 is 1
LCM of denominators i.e. for 524,1760 is 230560.
Thus, GCF of Fractions is 1/230560.Finally, GCF of Fractions for 1845/524, 7391/1760 is 1/230560.