GCF of 4334/376, 3198/200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4334/376, 3198/200 i.e 2/9400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4334/376, 3198/200.
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 4334/376,3198/200?
Given fractions are 4334/376,3198/200
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 4334/376,3198/200, numerators are 4334,3198
Denominators are 376,200
The GCF of 4334,3198 is 2 .
LCM of 376,200 is 9400.
The greatest common factor of 4334/376,3198/200 = [GCF of 4334,3198]/[LCM of 376,200]= 2/9400
Therefore, the GCF of 4334/376,3198/200 is 2/9400.
To find the highest common factor of 4334,3198, we have to find the factors of both numbers and list the highest common factor.
The factors of 4334 are 1, 2, 11, 22, 197, 394, 2167, 4334
The factors of 3198 are 1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599, 3198
The HCF of 4334,3198 is 2.
Lets's calculate GCF of 4334,3198
| 2 | 4334, 3198 |
| 2167, 1599 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4334,3198 By Matching Biggest Common Factor Method
Now, list down the factors of 4334
:1,2,11,22,197,394,2167,4334
Now, list down the factors of 3198
:1,2,3,6,13,26,39,41,78,82,123,246,533,1066,1599,3198
Greatest Common Factor
We found the factors 4334,3198 . The biggest common factor number is the GCF number.
So the greatest common factor 4334,3198 is 2.
Lets's calculate LCM of 376,200
| 2 | 376, 200 |
| 2 | 188, 100 |
| 2 | 94, 50 |
| 47, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 47 x 25 = 9400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9400
Therefore, the GCF of Fractions 4334/376,3198/200 is 2/9400
Least Common Multiple of 376,200 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 376,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,200) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(376,200) x common factors =8 x 1 = 8
LCM(376,200) = ( 376 × 200 ) / 8
LCM(376,200) = 75200 / 8
LCM(376,200) = 9400
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FAQs on GCF of Fractions of 4334/376, 3198/200
1. What is the HCF of 4334,3198?
The HCF of 4334,3198 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 4334/376, 3198/200?
Answer: GCF of Numerators as per given numbers 4334/376, 3198/200 is
GCF of Numerators i.e. for 4334,3198 is 2
LCM of denominators i.e. for 376,200 is 9400.
Thus, GCF of Fractions is 2/9400.Finally, GCF of Fractions for 4334/376, 3198/200 is 2/9400.