GCF of 260/337, 245/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 260/337, 245/409 i.e 5/137833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 260/337, 245/409.
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 260/337,245/409?
Given fractions are 260/337,245/409
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 260/337,245/409, numerators are 260,245
Denominators are 337,409
The GCF of 260,245 is 5 .
LCM of 337,409 is 137833.
The greatest common factor of 260/337,245/409 = [GCF of 260,245]/[LCM of 337,409]= 5/137833
Therefore, the GCF of 260/337,245/409 is 5/137833.
To find the highest common factor of 260,245, we have to find the factors of both numbers and list the highest common factor.
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
The factors of 245 are 1, 5, 7, 35, 49, 245
The HCF of 260,245 is 5.
Lets's calculate GCF of 260,245
| 5 | 260, 245 |
| 52, 49 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 260,245 By Matching Biggest Common Factor Method
Now, list down the factors of 260
:1,2,4,5,10,13,20,26,52,65,130,260
Now, list down the factors of 245
:1,5,7,35,49,245
Greatest Common Factor
We found the factors 260,245 . The biggest common factor number is the GCF number.
So the greatest common factor 260,245 is 5.
Lets's calculate LCM of 337,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 137833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/137833
Therefore, the GCF of Fractions 260/337,245/409 is 5/137833
Least Common Multiple of 337,409 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 337,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,409) x common factors =1 x 1 = 1
LCM(337,409) = ( 337 × 409 ) / 1
LCM(337,409) = 137833 / 1
LCM(337,409) = 137833
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FAQs on GCF of Fractions of 260/337, 245/409
1. What is the HCF of 260,245?
The HCF of 260,245 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 260/337, 245/409?
Answer: GCF of Numerators as per given numbers 260/337, 245/409 is
GCF of Numerators i.e. for 260,245 is 5
LCM of denominators i.e. for 337,409 is 137833.
Thus, GCF of Fractions is 5/137833.Finally, GCF of Fractions for 260/337, 245/409 is 5/137833.