GCF of 4798/181, 3162/8978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4798/181, 3162/8978 i.e 2/1625018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4798/181, 3162/8978.
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 4798/181,3162/8978?
Given fractions are 4798/181,3162/8978
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 4798/181,3162/8978, numerators are 4798,3162
Denominators are 181,8978
The GCF of 4798,3162 is 2 .
LCM of 181,8978 is 1625018.
The greatest common factor of 4798/181,3162/8978 = [GCF of 4798,3162]/[LCM of 181,8978]= 2/1625018
Therefore, the GCF of 4798/181,3162/8978 is 2/1625018.
To find the highest common factor of 4798,3162, we have to find the factors of both numbers and list the highest common factor.
The factors of 4798 are 1, 2, 2399, 4798
The factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162
The HCF of 4798,3162 is 2.
Lets's calculate GCF of 4798,3162
| 2 | 4798, 3162 |
| 2399, 1581 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4798,3162 By Matching Biggest Common Factor Method
Now, list down the factors of 4798
:1,2,2399,4798
Now, list down the factors of 3162
:1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Greatest Common Factor
We found the factors 4798,3162 . The biggest common factor number is the GCF number.
So the greatest common factor 4798,3162 is 2.
Lets's calculate LCM of 181,8978
Given numbers has no common factors except 1. So, there LCM is their product i.e 1625018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1625018
Therefore, the GCF of Fractions 4798/181,3162/8978 is 2/1625018
Least Common Multiple of 181,8978 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 181,8978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,8978) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,8978) x common factors =1 x 1 = 1
LCM(181,8978) = ( 181 × 8978 ) / 1
LCM(181,8978) = 1625018 / 1
LCM(181,8978) = 1625018
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FAQs on GCF of Fractions of 4798/181, 3162/8978
1. What is the HCF of 4798,3162?
The HCF of 4798,3162 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 4798/181, 3162/8978?
Answer: GCF of Numerators as per given numbers 4798/181, 3162/8978 is
GCF of Numerators i.e. for 4798,3162 is 2
LCM of denominators i.e. for 181,8978 is 1625018.
Thus, GCF of Fractions is 2/1625018.Finally, GCF of Fractions for 4798/181, 3162/8978 is 2/1625018.