GCF of 3334/492, 9198/3695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3334/492, 9198/3695 i.e 2/1817940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3334/492, 9198/3695.
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 3334/492,9198/3695?
Given fractions are 3334/492,9198/3695
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 3334/492,9198/3695, numerators are 3334,9198
Denominators are 492,3695
The GCF of 3334,9198 is 2 .
LCM of 492,3695 is 1817940.
The greatest common factor of 3334/492,9198/3695 = [GCF of 3334,9198]/[LCM of 492,3695]= 2/1817940
Therefore, the GCF of 3334/492,9198/3695 is 2/1817940.
To find the highest common factor of 3334,9198, we have to find the factors of both numbers and list the highest common factor.
The factors of 3334 are 1, 2, 1667, 3334
The factors of 9198 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 73, 126, 146, 219, 438, 511, 657, 1022, 1314, 1533, 3066, 4599, 9198
The HCF of 3334,9198 is 2.
Lets's calculate GCF of 3334,9198
| 2 | 3334, 9198 |
| 1667, 4599 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3334,9198 By Matching Biggest Common Factor Method
Now, list down the factors of 3334
:1,2,1667,3334
Now, list down the factors of 9198
:1,2,3,6,7,9,14,18,21,42,63,73,126,146,219,438,511,657,1022,1314,1533,3066,4599,9198
Greatest Common Factor
We found the factors 3334,9198 . The biggest common factor number is the GCF number.
So the greatest common factor 3334,9198 is 2.
Lets's calculate LCM of 492,3695
Given numbers has no common factors except 1. So, there LCM is their product i.e 1817940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1817940
Therefore, the GCF of Fractions 3334/492,9198/3695 is 2/1817940
Least Common Multiple of 492,3695 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 492,3695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,3695) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(492,3695) x common factors =1 x 1 = 1
LCM(492,3695) = ( 492 × 3695 ) / 1
LCM(492,3695) = 1817940 / 1
LCM(492,3695) = 1817940
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FAQs on GCF of Fractions of 3334/492, 9198/3695
1. What is the HCF of 3334,9198?
The HCF of 3334,9198 is 2
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 3334/492, 9198/3695?
Answer: GCF of Numerators as per given numbers 3334/492, 9198/3695 is
GCF of Numerators i.e. for 3334,9198 is 2
LCM of denominators i.e. for 492,3695 is 1817940.
Thus, GCF of Fractions is 2/1817940.Finally, GCF of Fractions for 3334/492, 9198/3695 is 2/1817940.