GCF of 5733/722, 3910/6136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5733/722, 3910/6136 i.e 1/2215096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5733/722, 3910/6136.
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 5733/722,3910/6136?
Given fractions are 5733/722,3910/6136
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 5733/722,3910/6136, numerators are 5733,3910
Denominators are 722,6136
The GCF of 5733,3910 is 1 .
LCM of 722,6136 is 2215096.
The greatest common factor of 5733/722,3910/6136 = [GCF of 5733,3910]/[LCM of 722,6136]= 1/2215096
Therefore, the GCF of 5733/722,3910/6136 is 1/2215096.
To find the highest common factor of 5733,3910, we have to find the factors of both numbers and list the highest common factor.
The factors of 5733 are 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733
The factors of 3910 are 1, 2, 5, 10, 17, 23, 34, 46, 85, 115, 170, 230, 391, 782, 1955, 3910
The HCF of 5733,3910 is 1.
Lets's calculate GCF of 5733,3910
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5733,3910 By Matching Biggest Common Factor Method
Now, list down the factors of 5733
:1,3,7,9,13,21,39,49,63,91,117,147,273,441,637,819,1911,5733
Now, list down the factors of 3910
:1,2,5,10,17,23,34,46,85,115,170,230,391,782,1955,3910
Greatest Common Factor
We found the factors 5733,3910 . The biggest common factor number is the GCF number.
So the greatest common factor 5733,3910 is 1.
Lets's calculate LCM of 722,6136
| 2 | 722, 6136 |
| 361, 3068 |
∴ So the LCM of the given numbers is 2 x 361 x 3068 = 2215096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2215096
Therefore, the GCF of Fractions 5733/722,3910/6136 is 1/2215096
Least Common Multiple of 722,6136 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 722,6136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,6136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,6136) x common factors =2 x 1 = 2
LCM(722,6136) = ( 722 × 6136 ) / 2
LCM(722,6136) = 4430192 / 2
LCM(722,6136) = 2215096
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FAQs on GCF of Fractions of 5733/722, 3910/6136
1. What is the HCF of 5733,3910?
The HCF of 5733,3910 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 5733/722, 3910/6136?
Answer: GCF of Numerators as per given numbers 5733/722, 3910/6136 is
GCF of Numerators i.e. for 5733,3910 is 1
LCM of denominators i.e. for 722,6136 is 2215096.
Thus, GCF of Fractions is 1/2215096.Finally, GCF of Fractions for 5733/722, 3910/6136 is 1/2215096.