GCF of 3541/482, 1003/8578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3541/482, 1003/8578 i.e 1/2067298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3541/482, 1003/8578.
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 3541/482,1003/8578?
Given fractions are 3541/482,1003/8578
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 3541/482,1003/8578, numerators are 3541,1003
Denominators are 482,8578
The GCF of 3541,1003 is 1 .
LCM of 482,8578 is 2067298.
The greatest common factor of 3541/482,1003/8578 = [GCF of 3541,1003]/[LCM of 482,8578]= 1/2067298
Therefore, the GCF of 3541/482,1003/8578 is 1/2067298.
To find the highest common factor of 3541,1003, we have to find the factors of both numbers and list the highest common factor.
The factors of 3541 are 1, 3541
The factors of 1003 are 1, 17, 59, 1003
The HCF of 3541,1003 is 1.
Lets's calculate GCF of 3541,1003
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3541,1003 By Matching Biggest Common Factor Method
Now, list down the factors of 3541
:1,3541
Now, list down the factors of 1003
:1,17,59,1003
Greatest Common Factor
We found the factors 3541,1003 . The biggest common factor number is the GCF number.
So the greatest common factor 3541,1003 is 1.
Lets's calculate LCM of 482,8578
| 2 | 482, 8578 |
| 241, 4289 |
∴ So the LCM of the given numbers is 2 x 241 x 4289 = 2067298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2067298
Therefore, the GCF of Fractions 3541/482,1003/8578 is 1/2067298
Least Common Multiple of 482,8578 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 482,8578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(482,8578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(482,8578) x common factors =2 x 1 = 2
LCM(482,8578) = ( 482 × 8578 ) / 2
LCM(482,8578) = 4134596 / 2
LCM(482,8578) = 2067298
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FAQs on GCF of Fractions of 3541/482, 1003/8578
1. What is the HCF of 3541,1003?
The HCF of 3541,1003 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 3541/482, 1003/8578?
Answer: GCF of Numerators as per given numbers 3541/482, 1003/8578 is
GCF of Numerators i.e. for 3541,1003 is 1
LCM of denominators i.e. for 482,8578 is 2067298.
Thus, GCF of Fractions is 1/2067298.Finally, GCF of Fractions for 3541/482, 1003/8578 is 1/2067298.