GCF of 5390/305, 4575/4619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5390/305, 4575/4619 i.e 5/1408795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5390/305, 4575/4619.
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 5390/305,4575/4619?
Given fractions are 5390/305,4575/4619
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 5390/305,4575/4619, numerators are 5390,4575
Denominators are 305,4619
The GCF of 5390,4575 is 5 .
LCM of 305,4619 is 1408795.
The greatest common factor of 5390/305,4575/4619 = [GCF of 5390,4575]/[LCM of 305,4619]= 5/1408795
Therefore, the GCF of 5390/305,4575/4619 is 5/1408795.
To find the highest common factor of 5390,4575, we have to find the factors of both numbers and list the highest common factor.
The factors of 5390 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 49, 55, 70, 77, 98, 110, 154, 245, 385, 490, 539, 770, 1078, 2695, 5390
The factors of 4575 are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575
The HCF of 5390,4575 is 5.
Lets's calculate GCF of 5390,4575
| 5 | 5390, 4575 |
| 1078, 915 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5390,4575 By Matching Biggest Common Factor Method
Now, list down the factors of 5390
:1,2,5,7,10,11,14,22,35,49,55,70,77,98,110,154,245,385,490,539,770,1078,2695,5390
Now, list down the factors of 4575
:1,3,5,15,25,61,75,183,305,915,1525,4575
Greatest Common Factor
We found the factors 5390,4575 . The biggest common factor number is the GCF number.
So the greatest common factor 5390,4575 is 5.
Lets's calculate LCM of 305,4619
Given numbers has no common factors except 1. So, there LCM is their product i.e 1408795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1408795
Therefore, the GCF of Fractions 5390/305,4575/4619 is 5/1408795
Least Common Multiple of 305,4619 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 305,4619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(305,4619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(305,4619) x common factors =1 x 1 = 1
LCM(305,4619) = ( 305 × 4619 ) / 1
LCM(305,4619) = 1408795 / 1
LCM(305,4619) = 1408795
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FAQs on GCF of Fractions of 5390/305, 4575/4619
1. What is the HCF of 5390,4575?
The HCF of 5390,4575 is 5
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 5390/305, 4575/4619?
Answer: GCF of Numerators as per given numbers 5390/305, 4575/4619 is
GCF of Numerators i.e. for 5390,4575 is 5
LCM of denominators i.e. for 305,4619 is 1408795.
Thus, GCF of Fractions is 5/1408795.Finally, GCF of Fractions for 5390/305, 4575/4619 is 5/1408795.