GCF of 2408/575, 7302/1439
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2408/575, 7302/1439 i.e 2/827425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2408/575, 7302/1439.
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 2408/575,7302/1439?
Given fractions are 2408/575,7302/1439
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 2408/575,7302/1439, numerators are 2408,7302
Denominators are 575,1439
The GCF of 2408,7302 is 2 .
LCM of 575,1439 is 827425.
The greatest common factor of 2408/575,7302/1439 = [GCF of 2408,7302]/[LCM of 575,1439]= 2/827425
Therefore, the GCF of 2408/575,7302/1439 is 2/827425.
To find the highest common factor of 2408,7302, we have to find the factors of both numbers and list the highest common factor.
The factors of 2408 are 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408
The factors of 7302 are 1, 2, 3, 6, 1217, 2434, 3651, 7302
The HCF of 2408,7302 is 2.
Lets's calculate GCF of 2408,7302
| 2 | 2408, 7302 |
| 1204, 3651 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2408,7302 By Matching Biggest Common Factor Method
Now, list down the factors of 2408
:1,2,4,7,8,14,28,43,56,86,172,301,344,602,1204,2408
Now, list down the factors of 7302
:1,2,3,6,1217,2434,3651,7302
Greatest Common Factor
We found the factors 2408,7302 . The biggest common factor number is the GCF number.
So the greatest common factor 2408,7302 is 2.
Lets's calculate LCM of 575,1439
Given numbers has no common factors except 1. So, there LCM is their product i.e 827425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/827425
Therefore, the GCF of Fractions 2408/575,7302/1439 is 2/827425
Least Common Multiple of 575,1439 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 575,1439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,1439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,1439) x common factors =1 x 1 = 1
LCM(575,1439) = ( 575 × 1439 ) / 1
LCM(575,1439) = 827425 / 1
LCM(575,1439) = 827425
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2408/575, 7302/1439
1. What is the HCF of 2408,7302?
The HCF of 2408,7302 is 2
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 2408/575, 7302/1439?
Answer: GCF of Numerators as per given numbers 2408/575, 7302/1439 is
GCF of Numerators i.e. for 2408,7302 is 2
LCM of denominators i.e. for 575,1439 is 827425.
Thus, GCF of Fractions is 2/827425.Finally, GCF of Fractions for 2408/575, 7302/1439 is 2/827425.