GCF of 355/65, 490/408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 355/65, 490/408 i.e 5/26520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 355/65, 490/408.
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 355/65,490/408?
Given fractions are 355/65,490/408
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 355/65,490/408, numerators are 355,490
Denominators are 65,408
The GCF of 355,490 is 5 .
LCM of 65,408 is 26520.
The greatest common factor of 355/65,490/408 = [GCF of 355,490]/[LCM of 65,408]= 5/26520
Therefore, the GCF of 355/65,490/408 is 5/26520.
To find the highest common factor of 355,490, we have to find the factors of both numbers and list the highest common factor.
The factors of 355 are 1, 5, 71, 355
The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
The HCF of 355,490 is 5.
Lets's calculate GCF of 355,490
| 5 | 355, 490 |
| 71, 98 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 355,490 By Matching Biggest Common Factor Method
Now, list down the factors of 355
:1,5,71,355
Now, list down the factors of 490
:1,2,5,7,10,14,35,49,70,98,245,490
Greatest Common Factor
We found the factors 355,490 . The biggest common factor number is the GCF number.
So the greatest common factor 355,490 is 5.
Lets's calculate LCM of 65,408
Given numbers has no common factors except 1. So, there LCM is their product i.e 26520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/26520
Therefore, the GCF of Fractions 355/65,490/408 is 5/26520
Least Common Multiple of 65,408 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 65,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,408) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,408) x common factors =1 x 1 = 1
LCM(65,408) = ( 65 × 408 ) / 1
LCM(65,408) = 26520 / 1
LCM(65,408) = 26520
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FAQs on GCF of Fractions of 355/65, 490/408
1. What is the HCF of 355,490?
The HCF of 355,490 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 355/65, 490/408?
Answer: GCF of Numerators as per given numbers 355/65, 490/408 is
GCF of Numerators i.e. for 355,490 is 5
LCM of denominators i.e. for 65,408 is 26520.
Thus, GCF of Fractions is 5/26520.Finally, GCF of Fractions for 355/65, 490/408 is 5/26520.