GCF of 328/942, 798/166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 328/942, 798/166 i.e 2/78186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 328/942, 798/166.
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 328/942,798/166?
Given fractions are 328/942,798/166
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 328/942,798/166, numerators are 328,798
Denominators are 942,166
The GCF of 328,798 is 2 .
LCM of 942,166 is 78186.
The greatest common factor of 328/942,798/166 = [GCF of 328,798]/[LCM of 942,166]= 2/78186
Therefore, the GCF of 328/942,798/166 is 2/78186.
To find the highest common factor of 328,798, we have to find the factors of both numbers and list the highest common factor.
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328
The factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
The HCF of 328,798 is 2.
Lets's calculate GCF of 328,798
| 2 | 328, 798 |
| 164, 399 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 328,798 By Matching Biggest Common Factor Method
Now, list down the factors of 328
:1,2,4,8,41,82,164,328
Now, list down the factors of 798
:1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Greatest Common Factor
We found the factors 328,798 . The biggest common factor number is the GCF number.
So the greatest common factor 328,798 is 2.
Lets's calculate LCM of 942,166
| 2 | 942, 166 |
| 471, 83 |
∴ So the LCM of the given numbers is 2 x 471 x 83 = 78186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/78186
Therefore, the GCF of Fractions 328/942,798/166 is 2/78186
Least Common Multiple of 942,166 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 942,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(942,166) x common factors =2 x 1 = 2
LCM(942,166) = ( 942 × 166 ) / 2
LCM(942,166) = 156372 / 2
LCM(942,166) = 78186
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FAQs on GCF of Fractions of 328/942, 798/166
1. What is the HCF of 328,798?
The HCF of 328,798 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 328/942, 798/166?
Answer: GCF of Numerators as per given numbers 328/942, 798/166 is
GCF of Numerators i.e. for 328,798 is 2
LCM of denominators i.e. for 942,166 is 78186.
Thus, GCF of Fractions is 2/78186.Finally, GCF of Fractions for 328/942, 798/166 is 2/78186.