GCF of 1845/572, 4309/5086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1845/572, 4309/5086 i.e 1/1454596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1845/572, 4309/5086.
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 1845/572,4309/5086?
Given fractions are 1845/572,4309/5086
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 1845/572,4309/5086, numerators are 1845,4309
Denominators are 572,5086
The GCF of 1845,4309 is 1 .
LCM of 572,5086 is 1454596.
The greatest common factor of 1845/572,4309/5086 = [GCF of 1845,4309]/[LCM of 572,5086]= 1/1454596
Therefore, the GCF of 1845/572,4309/5086 is 1/1454596.
To find the highest common factor of 1845,4309, 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 4309 are 1, 31, 139, 4309
The HCF of 1845,4309 is 1.
Lets's calculate GCF of 1845,4309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1845,4309 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 4309
:1,31,139,4309
Greatest Common Factor
We found the factors 1845,4309 . The biggest common factor number is the GCF number.
So the greatest common factor 1845,4309 is 1.
Lets's calculate LCM of 572,5086
| 2 | 572, 5086 |
| 286, 2543 |
∴ So the LCM of the given numbers is 2 x 286 x 2543 = 1454596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1454596
Therefore, the GCF of Fractions 1845/572,4309/5086 is 1/1454596
Least Common Multiple of 572,5086 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 572,5086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,5086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(572,5086) x common factors =2 x 1 = 2
LCM(572,5086) = ( 572 × 5086 ) / 2
LCM(572,5086) = 2909192 / 2
LCM(572,5086) = 1454596
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FAQs on GCF of Fractions of 1845/572, 4309/5086
1. What is the HCF of 1845,4309?
The HCF of 1845,4309 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 1845/572, 4309/5086?
Answer: GCF of Numerators as per given numbers 1845/572, 4309/5086 is
GCF of Numerators i.e. for 1845,4309 is 1
LCM of denominators i.e. for 572,5086 is 1454596.
Thus, GCF of Fractions is 1/1454596.Finally, GCF of Fractions for 1845/572, 4309/5086 is 1/1454596.