GCF of 1413/728, 3482/5499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1413/728, 3482/5499 i.e 1/307944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1413/728, 3482/5499.
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 1413/728,3482/5499?
Given fractions are 1413/728,3482/5499
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 1413/728,3482/5499, numerators are 1413,3482
Denominators are 728,5499
The GCF of 1413,3482 is 1 .
LCM of 728,5499 is 307944.
The greatest common factor of 1413/728,3482/5499 = [GCF of 1413,3482]/[LCM of 728,5499]= 1/307944
Therefore, the GCF of 1413/728,3482/5499 is 1/307944.
To find the highest common factor of 1413,3482, we have to find the factors of both numbers and list the highest common factor.
The factors of 1413 are 1, 3, 9, 157, 471, 1413
The factors of 3482 are 1, 2, 1741, 3482
The HCF of 1413,3482 is 1.
Lets's calculate GCF of 1413,3482
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1413,3482 By Matching Biggest Common Factor Method
Now, list down the factors of 1413
:1,3,9,157,471,1413
Now, list down the factors of 3482
:1,2,1741,3482
Greatest Common Factor
We found the factors 1413,3482 . The biggest common factor number is the GCF number.
So the greatest common factor 1413,3482 is 1.
Lets's calculate LCM of 728,5499
| 13 | 728, 5499 |
| 56, 423 |
∴ So the LCM of the given numbers is 13 x 56 x 423 = 307944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/307944
Therefore, the GCF of Fractions 1413/728,3482/5499 is 1/307944
Least Common Multiple of 728,5499 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 728,5499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,5499) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(728,5499) x common factors =13 x 1 = 13
LCM(728,5499) = ( 728 × 5499 ) / 13
LCM(728,5499) = 4003272 / 13
LCM(728,5499) = 307944
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FAQs on GCF of Fractions of 1413/728, 3482/5499
1. What is the HCF of 1413,3482?
The HCF of 1413,3482 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 1413/728, 3482/5499?
Answer: GCF of Numerators as per given numbers 1413/728, 3482/5499 is
GCF of Numerators i.e. for 1413,3482 is 1
LCM of denominators i.e. for 728,5499 is 307944.
Thus, GCF of Fractions is 1/307944.Finally, GCF of Fractions for 1413/728, 3482/5499 is 1/307944.