GCF of 3198/767, 2041/6072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3198/767, 2041/6072 i.e 13/4657224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3198/767, 2041/6072.
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 3198/767,2041/6072?
Given fractions are 3198/767,2041/6072
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 3198/767,2041/6072, numerators are 3198,2041
Denominators are 767,6072
The GCF of 3198,2041 is 13 .
LCM of 767,6072 is 4657224.
The greatest common factor of 3198/767,2041/6072 = [GCF of 3198,2041]/[LCM of 767,6072]= 13/4657224
Therefore, the GCF of 3198/767,2041/6072 is 13/4657224.
To find the highest common factor of 3198,2041, we have to find the factors of both numbers and list the highest common factor.
The factors of 3198 are 1, 2, 3, 6, 13, 26, 39, 41, 78, 82, 123, 246, 533, 1066, 1599, 3198
The factors of 2041 are 1, 13, 157, 2041
The HCF of 3198,2041 is 13.
Lets's calculate GCF of 3198,2041
| 13 | 3198, 2041 |
| 246, 157 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3198,2041 By Matching Biggest Common Factor Method
Now, list down the factors of 3198
:1,2,3,6,13,26,39,41,78,82,123,246,533,1066,1599,3198
Now, list down the factors of 2041
:1,13,157,2041
Greatest Common Factor
We found the factors 3198,2041 . The biggest common factor number is the GCF number.
So the greatest common factor 3198,2041 is 13.
Lets's calculate LCM of 767,6072
Given numbers has no common factors except 1. So, there LCM is their product i.e 4657224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4657224
Therefore, the GCF of Fractions 3198/767,2041/6072 is 13/4657224
Least Common Multiple of 767,6072 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 767,6072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,6072) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,6072) x common factors =1 x 1 = 1
LCM(767,6072) = ( 767 × 6072 ) / 1
LCM(767,6072) = 4657224 / 1
LCM(767,6072) = 4657224
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FAQs on GCF of Fractions of 3198/767, 2041/6072
1. What is the HCF of 3198,2041?
The HCF of 3198,2041 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 3198/767, 2041/6072?
Answer: GCF of Numerators as per given numbers 3198/767, 2041/6072 is
GCF of Numerators i.e. for 3198,2041 is 13
LCM of denominators i.e. for 767,6072 is 4657224.
Thus, GCF of Fractions is 13/4657224.Finally, GCF of Fractions for 3198/767, 2041/6072 is 13/4657224.