GCF of 3492/933, 3659/8145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3492/933, 3659/8145 i.e 1/2533095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3492/933, 3659/8145.
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 3492/933,3659/8145?
Given fractions are 3492/933,3659/8145
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 3492/933,3659/8145, numerators are 3492,3659
Denominators are 933,8145
The GCF of 3492,3659 is 1 .
LCM of 933,8145 is 2533095.
The greatest common factor of 3492/933,3659/8145 = [GCF of 3492,3659]/[LCM of 933,8145]= 1/2533095
Therefore, the GCF of 3492/933,3659/8145 is 1/2533095.
To find the highest common factor of 3492,3659, we have to find the factors of both numbers and list the highest common factor.
The factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492
The factors of 3659 are 1, 3659
The HCF of 3492,3659 is 1.
Lets's calculate GCF of 3492,3659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3492,3659 By Matching Biggest Common Factor Method
Now, list down the factors of 3492
:1,2,3,4,6,9,12,18,36,97,194,291,388,582,873,1164,1746,3492
Now, list down the factors of 3659
:1,3659
Greatest Common Factor
We found the factors 3492,3659 . The biggest common factor number is the GCF number.
So the greatest common factor 3492,3659 is 1.
Lets's calculate LCM of 933,8145
| 3 | 933, 8145 |
| 311, 2715 |
∴ So the LCM of the given numbers is 3 x 311 x 2715 = 2533095
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2533095
Therefore, the GCF of Fractions 3492/933,3659/8145 is 1/2533095
Least Common Multiple of 933,8145 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 933,8145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,8145) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(933,8145) x common factors =3 x 1 = 3
LCM(933,8145) = ( 933 × 8145 ) / 3
LCM(933,8145) = 7599285 / 3
LCM(933,8145) = 2533095
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FAQs on GCF of Fractions of 3492/933, 3659/8145
1. What is the HCF of 3492,3659?
The HCF of 3492,3659 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 3492/933, 3659/8145?
Answer: GCF of Numerators as per given numbers 3492/933, 3659/8145 is
GCF of Numerators i.e. for 3492,3659 is 1
LCM of denominators i.e. for 933,8145 is 2533095.
Thus, GCF of Fractions is 1/2533095.Finally, GCF of Fractions for 3492/933, 3659/8145 is 1/2533095.