GCF of 3540/519, 9409/975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3540/519, 9409/975 i.e 1/168675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3540/519, 9409/975.
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 3540/519,9409/975?
Given fractions are 3540/519,9409/975
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 3540/519,9409/975, numerators are 3540,9409
Denominators are 519,975
The GCF of 3540,9409 is 1 .
LCM of 519,975 is 168675.
The greatest common factor of 3540/519,9409/975 = [GCF of 3540,9409]/[LCM of 519,975]= 1/168675
Therefore, the GCF of 3540/519,9409/975 is 1/168675.
To find the highest common factor of 3540,9409, we have to find the factors of both numbers and list the highest common factor.
The factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540
The factors of 9409 are 1, 97, 9409
The HCF of 3540,9409 is 1.
Lets's calculate GCF of 3540,9409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3540,9409 By Matching Biggest Common Factor Method
Now, list down the factors of 3540
:1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540
Now, list down the factors of 9409
:1,97,9409
Greatest Common Factor
We found the factors 3540,9409 . The biggest common factor number is the GCF number.
So the greatest common factor 3540,9409 is 1.
Lets's calculate LCM of 519,975
| 3 | 519, 975 |
| 173, 325 |
∴ So the LCM of the given numbers is 3 x 173 x 325 = 168675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168675
Therefore, the GCF of Fractions 3540/519,9409/975 is 1/168675
Least Common Multiple of 519,975 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 519,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,975) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,975) x common factors =3 x 1 = 3
LCM(519,975) = ( 519 × 975 ) / 3
LCM(519,975) = 506025 / 3
LCM(519,975) = 168675
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FAQs on GCF of Fractions of 3540/519, 9409/975
1. What is the HCF of 3540,9409?
The HCF of 3540,9409 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 3540/519, 9409/975?
Answer: GCF of Numerators as per given numbers 3540/519, 9409/975 is
GCF of Numerators i.e. for 3540,9409 is 1
LCM of denominators i.e. for 519,975 is 168675.
Thus, GCF of Fractions is 1/168675.Finally, GCF of Fractions for 3540/519, 9409/975 is 1/168675.