GCF of 9858/263, 9176/3992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9858/263, 9176/3992 i.e 62/1049896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9858/263, 9176/3992.
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 9858/263,9176/3992?
Given fractions are 9858/263,9176/3992
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 9858/263,9176/3992, numerators are 9858,9176
Denominators are 263,3992
The GCF of 9858,9176 is 62 .
LCM of 263,3992 is 1049896.
The greatest common factor of 9858/263,9176/3992 = [GCF of 9858,9176]/[LCM of 263,3992]= 62/1049896
Therefore, the GCF of 9858/263,9176/3992 is 62/1049896.
To find the highest common factor of 9858,9176, we have to find the factors of both numbers and list the highest common factor.
The factors of 9858 are 1, 2, 3, 6, 31, 53, 62, 93, 106, 159, 186, 318, 1643, 3286, 4929, 9858
The factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176
The HCF of 9858,9176 is 62.
Lets's calculate GCF of 9858,9176
| 2 | 9858, 9176 |
| 31 | 4929, 4588 |
| 159, 148 |
∴ So the GCF of the given numbers is 2 x 31 = 62
Greatest Common Factor of 9858,9176 By Matching Biggest Common Factor Method
Now, list down the factors of 9858
:1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858
Now, list down the factors of 9176
:1,2,4,8,31,37,62,74,124,148,248,296,1147,2294,4588,9176
Greatest Common Factor
We found the factors 9858,9176 . The biggest common factor number is the GCF number.
So the greatest common factor 9858,9176 is 62.
Lets's calculate LCM of 263,3992
Given numbers has no common factors except 1. So, there LCM is their product i.e 1049896
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/1049896
Therefore, the GCF of Fractions 9858/263,9176/3992 is 62/1049896
Least Common Multiple of 263,3992 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 263,3992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(263,3992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(263,3992) x common factors =1 x 1 = 1
LCM(263,3992) = ( 263 × 3992 ) / 1
LCM(263,3992) = 1049896 / 1
LCM(263,3992) = 1049896
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FAQs on GCF of Fractions of 9858/263, 9176/3992
1. What is the HCF of 9858,9176?
The HCF of 9858,9176 is 62
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 9858/263, 9176/3992?
Answer: GCF of Numerators as per given numbers 9858/263, 9176/3992 is
GCF of Numerators i.e. for 9858,9176 is 62
LCM of denominators i.e. for 263,3992 is 1049896.
Thus, GCF of Fractions is 62/1049896.Finally, GCF of Fractions for 9858/263, 9176/3992 is 62/1049896.