GCF of 6149/762, 3198/6150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6149/762, 3198/6150 i.e 13/781050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6149/762, 3198/6150.
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 6149/762,3198/6150?
Given fractions are 6149/762,3198/6150
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 6149/762,3198/6150, numerators are 6149,3198
Denominators are 762,6150
The GCF of 6149,3198 is 13 .
LCM of 762,6150 is 781050.
The greatest common factor of 6149/762,3198/6150 = [GCF of 6149,3198]/[LCM of 762,6150]= 13/781050
Therefore, the GCF of 6149/762,3198/6150 is 13/781050.
To find the highest common factor of 6149,3198, we have to find the factors of both numbers and list the highest common factor.
The factors of 6149 are 1, 11, 13, 43, 143, 473, 559, 6149
The factors of 3198 are 1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599, 3198
The HCF of 6149,3198 is 13.
Lets's calculate GCF of 6149,3198
| 13 | 6149, 3198 |
| 473, 246 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 6149,3198 By Matching Biggest Common Factor Method
Now, list down the factors of 6149
:1,11,13,43,143,473,559,6149
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 6149,3198 . The biggest common factor number is the GCF number.
So the greatest common factor 6149,3198 is 13.
Lets's calculate LCM of 762,6150
| 2 | 762, 6150 |
| 3 | 381, 3075 |
| 127, 1025 |
∴ So the LCM of the given numbers is 2 x 3 x 127 x 1025 = 781050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/781050
Therefore, the GCF of Fractions 6149/762,3198/6150 is 13/781050
Least Common Multiple of 762,6150 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 762,6150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(762,6150) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(762,6150) x common factors =6 x 1 = 6
LCM(762,6150) = ( 762 × 6150 ) / 6
LCM(762,6150) = 4686300 / 6
LCM(762,6150) = 781050
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FAQs on GCF of Fractions of 6149/762, 3198/6150
1. What is the HCF of 6149,3198?
The HCF of 6149,3198 is 13
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 6149/762, 3198/6150?
Answer: GCF of Numerators as per given numbers 6149/762, 3198/6150 is
GCF of Numerators i.e. for 6149,3198 is 13
LCM of denominators i.e. for 762,6150 is 781050.
Thus, GCF of Fractions is 13/781050.Finally, GCF of Fractions for 6149/762, 3198/6150 is 13/781050.