GCF of 3682/498, 4345/1641
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3682/498, 4345/1641 i.e 1/272406 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3682/498, 4345/1641.
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 3682/498,4345/1641?
Given fractions are 3682/498,4345/1641
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 3682/498,4345/1641, numerators are 3682,4345
Denominators are 498,1641
The GCF of 3682,4345 is 1 .
LCM of 498,1641 is 272406.
The greatest common factor of 3682/498,4345/1641 = [GCF of 3682,4345]/[LCM of 498,1641]= 1/272406
Therefore, the GCF of 3682/498,4345/1641 is 1/272406.
To find the highest common factor of 3682,4345, we have to find the factors of both numbers and list the highest common factor.
The factors of 3682 are 1, 2, 7, 14, 263, 526, 1841, 3682
The factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345
The HCF of 3682,4345 is 1.
Lets's calculate GCF of 3682,4345
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3682,4345 By Matching Biggest Common Factor Method
Now, list down the factors of 3682
:1,2,7,14,263,526,1841,3682
Now, list down the factors of 4345
:1,5,11,55,79,395,869,4345
Greatest Common Factor
We found the factors 3682,4345 . The biggest common factor number is the GCF number.
So the greatest common factor 3682,4345 is 1.
Lets's calculate LCM of 498,1641
| 3 | 498, 1641 |
| 166, 547 |
∴ So the LCM of the given numbers is 3 x 166 x 547 = 272406
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/272406
Therefore, the GCF of Fractions 3682/498,4345/1641 is 1/272406
Least Common Multiple of 498,1641 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 498,1641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,1641) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(498,1641) x common factors =3 x 1 = 3
LCM(498,1641) = ( 498 × 1641 ) / 3
LCM(498,1641) = 817218 / 3
LCM(498,1641) = 272406
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FAQs on GCF of Fractions of 3682/498, 4345/1641
1. What is the HCF of 3682,4345?
The HCF of 3682,4345 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 3682/498, 4345/1641?
Answer: GCF of Numerators as per given numbers 3682/498, 4345/1641 is
GCF of Numerators i.e. for 3682,4345 is 1
LCM of denominators i.e. for 498,1641 is 272406.
Thus, GCF of Fractions is 1/272406.Finally, GCF of Fractions for 3682/498, 4345/1641 is 1/272406.