GCF of 4105/730, 3477/5734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4105/730, 3477/5734 i.e 1/2092910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4105/730, 3477/5734.
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 4105/730,3477/5734?
Given fractions are 4105/730,3477/5734
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 4105/730,3477/5734, numerators are 4105,3477
Denominators are 730,5734
The GCF of 4105,3477 is 1 .
LCM of 730,5734 is 2092910.
The greatest common factor of 4105/730,3477/5734 = [GCF of 4105,3477]/[LCM of 730,5734]= 1/2092910
Therefore, the GCF of 4105/730,3477/5734 is 1/2092910.
To find the highest common factor of 4105,3477, we have to find the factors of both numbers and list the highest common factor.
The factors of 4105 are 1, 5, 821, 4105
The factors of 3477 are 1, 3, 19, 57, 61, 183, 1159, 3477
The HCF of 4105,3477 is 1.
Lets's calculate GCF of 4105,3477
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4105,3477 By Matching Biggest Common Factor Method
Now, list down the factors of 4105
:1,5,821,4105
Now, list down the factors of 3477
:1,3,19,57,61,183,1159,3477
Greatest Common Factor
We found the factors 4105,3477 . The biggest common factor number is the GCF number.
So the greatest common factor 4105,3477 is 1.
Lets's calculate LCM of 730,5734
| 2 | 730, 5734 |
| 365, 2867 |
∴ So the LCM of the given numbers is 2 x 365 x 2867 = 2092910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2092910
Therefore, the GCF of Fractions 4105/730,3477/5734 is 1/2092910
Least Common Multiple of 730,5734 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 730,5734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(730,5734) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(730,5734) x common factors =2 x 1 = 2
LCM(730,5734) = ( 730 × 5734 ) / 2
LCM(730,5734) = 4185820 / 2
LCM(730,5734) = 2092910
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FAQs on GCF of Fractions of 4105/730, 3477/5734
1. What is the HCF of 4105,3477?
The HCF of 4105,3477 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 4105/730, 3477/5734?
Answer: GCF of Numerators as per given numbers 4105/730, 3477/5734 is
GCF of Numerators i.e. for 4105,3477 is 1
LCM of denominators i.e. for 730,5734 is 2092910.
Thus, GCF of Fractions is 1/2092910.Finally, GCF of Fractions for 4105/730, 3477/5734 is 1/2092910.