GCF of 3198/176, 6747/161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3198/176, 6747/161 i.e 39/28336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3198/176, 6747/161.
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 3198/176,6747/161?
Given fractions are 3198/176,6747/161
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 3198/176,6747/161, numerators are 3198,6747
Denominators are 176,161
The GCF of 3198,6747 is 39 .
LCM of 176,161 is 28336.
The greatest common factor of 3198/176,6747/161 = [GCF of 3198,6747]/[LCM of 176,161]= 39/28336
Therefore, the GCF of 3198/176,6747/161 is 39/28336.
To find the highest common factor of 3198,6747, 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 6747 are 1, 3, 13, 39, 173, 519, 2249, 6747
The HCF of 3198,6747 is 39.
Lets's calculate GCF of 3198,6747
| 3 | 3198, 6747 |
| 13 | 1066, 2249 |
| 82, 173 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Greatest Common Factor of 3198,6747 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 6747
:1,3,13,39,173,519,2249,6747
Greatest Common Factor
We found the factors 3198,6747 . The biggest common factor number is the GCF number.
So the greatest common factor 3198,6747 is 39.
Lets's calculate LCM of 176,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 28336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/28336
Therefore, the GCF of Fractions 3198/176,6747/161 is 39/28336
Least Common Multiple of 176,161 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 176,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,161) x common factors =1 x 1 = 1
LCM(176,161) = ( 176 × 161 ) / 1
LCM(176,161) = 28336 / 1
LCM(176,161) = 28336
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FAQs on GCF of Fractions of 3198/176, 6747/161
1. What is the HCF of 3198,6747?
The HCF of 3198,6747 is 39
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 3198/176, 6747/161?
Answer: GCF of Numerators as per given numbers 3198/176, 6747/161 is
GCF of Numerators i.e. for 3198,6747 is 39
LCM of denominators i.e. for 176,161 is 28336.
Thus, GCF of Fractions is 39/28336.Finally, GCF of Fractions for 3198/176, 6747/161 is 39/28336.