GCF of 5645/111, 4309/3609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5645/111, 4309/3609 i.e 1/133533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5645/111, 4309/3609.
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 5645/111,4309/3609?
Given fractions are 5645/111,4309/3609
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 5645/111,4309/3609, numerators are 5645,4309
Denominators are 111,3609
The GCF of 5645,4309 is 1 .
LCM of 111,3609 is 133533.
The greatest common factor of 5645/111,4309/3609 = [GCF of 5645,4309]/[LCM of 111,3609]= 1/133533
Therefore, the GCF of 5645/111,4309/3609 is 1/133533.
To find the highest common factor of 5645,4309, we have to find the factors of both numbers and list the highest common factor.
The factors of 5645 are 1, 5, 1129, 5645
The factors of 4309 are 1, 31, 139, 4309
The HCF of 5645,4309 is 1.
Lets's calculate GCF of 5645,4309
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5645,4309 By Matching Biggest Common Factor Method
Now, list down the factors of 5645
:1,5,1129,5645
Now, list down the factors of 4309
:1,31,139,4309
Greatest Common Factor
We found the factors 5645,4309 . The biggest common factor number is the GCF number.
So the greatest common factor 5645,4309 is 1.
Lets's calculate LCM of 111,3609
| 3 | 111, 3609 |
| 37, 1203 |
∴ So the LCM of the given numbers is 3 x 37 x 1203 = 133533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133533
Therefore, the GCF of Fractions 5645/111,4309/3609 is 1/133533
Least Common Multiple of 111,3609 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 111,3609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,3609) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(111,3609) x common factors =3 x 1 = 3
LCM(111,3609) = ( 111 × 3609 ) / 3
LCM(111,3609) = 400599 / 3
LCM(111,3609) = 133533
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FAQs on GCF of Fractions of 5645/111, 4309/3609
1. What is the HCF of 5645,4309?
The HCF of 5645,4309 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 5645/111, 4309/3609?
Answer: GCF of Numerators as per given numbers 5645/111, 4309/3609 is
GCF of Numerators i.e. for 5645,4309 is 1
LCM of denominators i.e. for 111,3609 is 133533.
Thus, GCF of Fractions is 1/133533.Finally, GCF of Fractions for 5645/111, 4309/3609 is 1/133533.