GCF of 3582/372, 7841/1730
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3582/372, 7841/1730 i.e 1/321780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3582/372, 7841/1730.
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 3582/372,7841/1730?
Given fractions are 3582/372,7841/1730
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 3582/372,7841/1730, numerators are 3582,7841
Denominators are 372,1730
The GCF of 3582,7841 is 1 .
LCM of 372,1730 is 321780.
The greatest common factor of 3582/372,7841/1730 = [GCF of 3582,7841]/[LCM of 372,1730]= 1/321780
Therefore, the GCF of 3582/372,7841/1730 is 1/321780.
To find the highest common factor of 3582,7841, we have to find the factors of both numbers and list the highest common factor.
The factors of 3582 are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582
The factors of 7841 are 1, 7841
The HCF of 3582,7841 is 1.
Lets's calculate GCF of 3582,7841
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3582,7841 By Matching Biggest Common Factor Method
Now, list down the factors of 3582
:1,2,3,6,9,18,199,398,597,1194,1791,3582
Now, list down the factors of 7841
:1,7841
Greatest Common Factor
We found the factors 3582,7841 . The biggest common factor number is the GCF number.
So the greatest common factor 3582,7841 is 1.
Lets's calculate LCM of 372,1730
| 2 | 372, 1730 |
| 186, 865 |
∴ So the LCM of the given numbers is 2 x 186 x 865 = 321780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321780
Therefore, the GCF of Fractions 3582/372,7841/1730 is 1/321780
Least Common Multiple of 372,1730 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 372,1730 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,1730) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(372,1730) x common factors =2 x 1 = 2
LCM(372,1730) = ( 372 × 1730 ) / 2
LCM(372,1730) = 643560 / 2
LCM(372,1730) = 321780
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FAQs on GCF of Fractions of 3582/372, 7841/1730
1. What is the HCF of 3582,7841?
The HCF of 3582,7841 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 3582/372, 7841/1730?
Answer: GCF of Numerators as per given numbers 3582/372, 7841/1730 is
GCF of Numerators i.e. for 3582,7841 is 1
LCM of denominators i.e. for 372,1730 is 321780.
Thus, GCF of Fractions is 1/321780.Finally, GCF of Fractions for 3582/372, 7841/1730 is 1/321780.