GCF of 6591/438, 5746/9917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6591/438, 5746/9917 i.e 169/4343646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6591/438, 5746/9917.
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 6591/438,5746/9917?
Given fractions are 6591/438,5746/9917
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 6591/438,5746/9917, numerators are 6591,5746
Denominators are 438,9917
The GCF of 6591,5746 is 169 .
LCM of 438,9917 is 4343646.
The greatest common factor of 6591/438,5746/9917 = [GCF of 6591,5746]/[LCM of 438,9917]= 169/4343646
Therefore, the GCF of 6591/438,5746/9917 is 169/4343646.
To find the highest common factor of 6591,5746, we have to find the factors of both numbers and list the highest common factor.
The factors of 6591 are 1, 3, 13, 39, 169, 507, 2197, 6591
The factors of 5746 are 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746
The HCF of 6591,5746 is 169.
Lets's calculate GCF of 6591,5746
| 13 | 6591, 5746 |
| 13 | 507, 442 |
| 39, 34 |
∴ So the GCF of the given numbers is 13 x 13 = 169
Greatest Common Factor of 6591,5746 By Matching Biggest Common Factor Method
Now, list down the factors of 6591
:1,3,13,39,169,507,2197,6591
Now, list down the factors of 5746
:1,2,13,17,26,34,169,221,338,442,2873,5746
Greatest Common Factor
We found the factors 6591,5746 . The biggest common factor number is the GCF number.
So the greatest common factor 6591,5746 is 169.
Lets's calculate LCM of 438,9917
Given numbers has no common factors except 1. So, there LCM is their product i.e 4343646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 169/4343646
Therefore, the GCF of Fractions 6591/438,5746/9917 is 169/4343646
Least Common Multiple of 438,9917 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 438,9917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,9917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,9917) x common factors =1 x 1 = 1
LCM(438,9917) = ( 438 × 9917 ) / 1
LCM(438,9917) = 4343646 / 1
LCM(438,9917) = 4343646
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FAQs on GCF of Fractions of 6591/438, 5746/9917
1. What is the HCF of 6591,5746?
The HCF of 6591,5746 is 169
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 6591/438, 5746/9917?
Answer: GCF of Numerators as per given numbers 6591/438, 5746/9917 is
GCF of Numerators i.e. for 6591,5746 is 169
LCM of denominators i.e. for 438,9917 is 4343646.
Thus, GCF of Fractions is 169/4343646.Finally, GCF of Fractions for 6591/438, 5746/9917 is 169/4343646.