GCF of 5919/384, 4475/438
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5919/384, 4475/438 i.e 1/28032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5919/384, 4475/438.
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 5919/384,4475/438?
Given fractions are 5919/384,4475/438
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 5919/384,4475/438, numerators are 5919,4475
Denominators are 384,438
The GCF of 5919,4475 is 1 .
LCM of 384,438 is 28032.
The greatest common factor of 5919/384,4475/438 = [GCF of 5919,4475]/[LCM of 384,438]= 1/28032
Therefore, the GCF of 5919/384,4475/438 is 1/28032.
To find the highest common factor of 5919,4475, we have to find the factors of both numbers and list the highest common factor.
The factors of 5919 are 1, 3, 1973, 5919
The factors of 4475 are 1, 5, 25, 179, 895, 4475
The HCF of 5919,4475 is 1.
Lets's calculate GCF of 5919,4475
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5919,4475 By Matching Biggest Common Factor Method
Now, list down the factors of 5919
:1,3,1973,5919
Now, list down the factors of 4475
:1,5,25,179,895,4475
Greatest Common Factor
We found the factors 5919,4475 . The biggest common factor number is the GCF number.
So the greatest common factor 5919,4475 is 1.
Lets's calculate LCM of 384,438
| 2 | 384, 438 |
| 3 | 192, 219 |
| 64, 73 |
∴ So the LCM of the given numbers is 2 x 3 x 64 x 73 = 28032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28032
Therefore, the GCF of Fractions 5919/384,4475/438 is 1/28032
Least Common Multiple of 384,438 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 384,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,438) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(384,438) x common factors =6 x 1 = 6
LCM(384,438) = ( 384 × 438 ) / 6
LCM(384,438) = 168192 / 6
LCM(384,438) = 28032
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FAQs on GCF of Fractions of 5919/384, 4475/438
1. What is the HCF of 5919,4475?
The HCF of 5919,4475 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 5919/384, 4475/438?
Answer: GCF of Numerators as per given numbers 5919/384, 4475/438 is
GCF of Numerators i.e. for 5919,4475 is 1
LCM of denominators i.e. for 384,438 is 28032.
Thus, GCF of Fractions is 1/28032.Finally, GCF of Fractions for 5919/384, 4475/438 is 1/28032.