GCF of 3492/17, 9492/197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3492/17, 9492/197 i.e 12/3349 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3492/17, 9492/197.
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 3492/17,9492/197?
Given fractions are 3492/17,9492/197
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 3492/17,9492/197, numerators are 3492,9492
Denominators are 17,197
The GCF of 3492,9492 is 12 .
LCM of 17,197 is 3349.
The greatest common factor of 3492/17,9492/197 = [GCF of 3492,9492]/[LCM of 17,197]= 12/3349
Therefore, the GCF of 3492/17,9492/197 is 12/3349.
To find the highest common factor of 3492,9492, 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 9492 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746, 9492
The HCF of 3492,9492 is 12.
Lets's calculate GCF of 3492,9492
| 2 | 3492, 9492 |
| 2 | 1746, 4746 |
| 3 | 873, 2373 |
| 291, 791 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 3492,9492 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 9492
:1,2,3,4,6,7,12,14,21,28,42,84,113,226,339,452,678,791,1356,1582,2373,3164,4746,9492
Greatest Common Factor
We found the factors 3492,9492 . The biggest common factor number is the GCF number.
So the greatest common factor 3492,9492 is 12.
Lets's calculate LCM of 17,197
Given numbers has no common factors except 1. So, there LCM is their product i.e 3349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3349
Therefore, the GCF of Fractions 3492/17,9492/197 is 12/3349
Least Common Multiple of 17,197 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 17,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,197) x common factors =1 x 1 = 1
LCM(17,197) = ( 17 × 197 ) / 1
LCM(17,197) = 3349 / 1
LCM(17,197) = 3349
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FAQs on GCF of Fractions of 3492/17, 9492/197
1. What is the HCF of 3492,9492?
The HCF of 3492,9492 is 12
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 3492/17, 9492/197?
Answer: GCF of Numerators as per given numbers 3492/17, 9492/197 is
GCF of Numerators i.e. for 3492,9492 is 12
LCM of denominators i.e. for 17,197 is 3349.
Thus, GCF of Fractions is 12/3349.Finally, GCF of Fractions for 3492/17, 9492/197 is 12/3349.