GCF of 3198/845, 2943/9804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3198/845, 2943/9804 i.e 3/8284380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3198/845, 2943/9804.
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 3198/845,2943/9804?
Given fractions are 3198/845,2943/9804
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 3198/845,2943/9804, numerators are 3198,2943
Denominators are 845,9804
The GCF of 3198,2943 is 3 .
LCM of 845,9804 is 8284380.
The greatest common factor of 3198/845,2943/9804 = [GCF of 3198,2943]/[LCM of 845,9804]= 3/8284380
Therefore, the GCF of 3198/845,2943/9804 is 3/8284380.
To find the highest common factor of 3198,2943, 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 2943 are 1, 3, 9, 27, 109, 327, 981, 2943
The HCF of 3198,2943 is 3.
Lets's calculate GCF of 3198,2943
| 3 | 3198, 2943 |
| 1066, 981 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3198,2943 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 2943
:1,3,9,27,109,327,981,2943
Greatest Common Factor
We found the factors 3198,2943 . The biggest common factor number is the GCF number.
So the greatest common factor 3198,2943 is 3.
Lets's calculate LCM of 845,9804
Given numbers has no common factors except 1. So, there LCM is their product i.e 8284380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8284380
Therefore, the GCF of Fractions 3198/845,2943/9804 is 3/8284380
Least Common Multiple of 845,9804 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 845,9804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,9804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,9804) x common factors =1 x 1 = 1
LCM(845,9804) = ( 845 × 9804 ) / 1
LCM(845,9804) = 8284380 / 1
LCM(845,9804) = 8284380
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FAQs on GCF of Fractions of 3198/845, 2943/9804
1. What is the HCF of 3198,2943?
The HCF of 3198,2943 is 3
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 3198/845, 2943/9804?
Answer: GCF of Numerators as per given numbers 3198/845, 2943/9804 is
GCF of Numerators i.e. for 3198,2943 is 3
LCM of denominators i.e. for 845,9804 is 8284380.
Thus, GCF of Fractions is 3/8284380.Finally, GCF of Fractions for 3198/845, 2943/9804 is 3/8284380.