GCF of 3535/494, 4507/2958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3535/494, 4507/2958 i.e 1/730626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3535/494, 4507/2958.
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 3535/494,4507/2958?
Given fractions are 3535/494,4507/2958
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 3535/494,4507/2958, numerators are 3535,4507
Denominators are 494,2958
The GCF of 3535,4507 is 1 .
LCM of 494,2958 is 730626.
The greatest common factor of 3535/494,4507/2958 = [GCF of 3535,4507]/[LCM of 494,2958]= 1/730626
Therefore, the GCF of 3535/494,4507/2958 is 1/730626.
To find the highest common factor of 3535,4507, we have to find the factors of both numbers and list the highest common factor.
The factors of 3535 are 1, 5, 7, 35, 101, 505, 707, 3535
The factors of 4507 are 1, 4507
The HCF of 3535,4507 is 1.
Lets's calculate GCF of 3535,4507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3535,4507 By Matching Biggest Common Factor Method
Now, list down the factors of 3535
:1,5,7,35,101,505,707,3535
Now, list down the factors of 4507
:1,4507
Greatest Common Factor
We found the factors 3535,4507 . The biggest common factor number is the GCF number.
So the greatest common factor 3535,4507 is 1.
Lets's calculate LCM of 494,2958
| 2 | 494, 2958 |
| 247, 1479 |
∴ So the LCM of the given numbers is 2 x 247 x 1479 = 730626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/730626
Therefore, the GCF of Fractions 3535/494,4507/2958 is 1/730626
Least Common Multiple of 494,2958 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 494,2958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,2958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,2958) x common factors =2 x 1 = 2
LCM(494,2958) = ( 494 × 2958 ) / 2
LCM(494,2958) = 1461252 / 2
LCM(494,2958) = 730626
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FAQs on GCF of Fractions of 3535/494, 4507/2958
1. What is the HCF of 3535,4507?
The HCF of 3535,4507 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 3535/494, 4507/2958?
Answer: GCF of Numerators as per given numbers 3535/494, 4507/2958 is
GCF of Numerators i.e. for 3535,4507 is 1
LCM of denominators i.e. for 494,2958 is 730626.
Thus, GCF of Fractions is 1/730626.Finally, GCF of Fractions for 3535/494, 4507/2958 is 1/730626.