GCF of 359/408, 3245/2030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 359/408, 3245/2030 i.e 1/414120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 359/408, 3245/2030.
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 359/408,3245/2030?
Given fractions are 359/408,3245/2030
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 359/408,3245/2030, numerators are 359,3245
Denominators are 408,2030
The GCF of 359,3245 is 1 .
LCM of 408,2030 is 414120.
The greatest common factor of 359/408,3245/2030 = [GCF of 359,3245]/[LCM of 408,2030]= 1/414120
Therefore, the GCF of 359/408,3245/2030 is 1/414120.
To find the highest common factor of 359,3245, we have to find the factors of both numbers and list the highest common factor.
The factors of 359 are 1, 359
The factors of 3245 are 1, 5, 11, 55, 59, 295, 649, 3245
The HCF of 359,3245 is 1.
Lets's calculate GCF of 359,3245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 359,3245 By Matching Biggest Common Factor Method
Now, list down the factors of 359
:1,359
Now, list down the factors of 3245
:1,5,11,55,59,295,649,3245
Greatest Common Factor
We found the factors 359,3245 . The biggest common factor number is the GCF number.
So the greatest common factor 359,3245 is 1.
Lets's calculate LCM of 408,2030
| 2 | 408, 2030 |
| 204, 1015 |
∴ So the LCM of the given numbers is 2 x 204 x 1015 = 414120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414120
Therefore, the GCF of Fractions 359/408,3245/2030 is 1/414120
Least Common Multiple of 408,2030 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 408,2030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,2030) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(408,2030) x common factors =2 x 1 = 2
LCM(408,2030) = ( 408 × 2030 ) / 2
LCM(408,2030) = 828240 / 2
LCM(408,2030) = 414120
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FAQs on GCF of Fractions of 359/408, 3245/2030
1. What is the HCF of 359,3245?
The HCF of 359,3245 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 359/408, 3245/2030?
Answer: GCF of Numerators as per given numbers 359/408, 3245/2030 is
GCF of Numerators i.e. for 359,3245 is 1
LCM of denominators i.e. for 408,2030 is 414120.
Thus, GCF of Fractions is 1/414120.Finally, GCF of Fractions for 359/408, 3245/2030 is 1/414120.