GCF of 8463/362, 4867/930
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8463/362, 4867/930 i.e 31/168330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8463/362, 4867/930.
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 8463/362,4867/930?
Given fractions are 8463/362,4867/930
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 8463/362,4867/930, numerators are 8463,4867
Denominators are 362,930
The GCF of 8463,4867 is 31 .
LCM of 362,930 is 168330.
The greatest common factor of 8463/362,4867/930 = [GCF of 8463,4867]/[LCM of 362,930]= 31/168330
Therefore, the GCF of 8463/362,4867/930 is 31/168330.
To find the highest common factor of 8463,4867, we have to find the factors of both numbers and list the highest common factor.
The factors of 8463 are 1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463
The factors of 4867 are 1, 31, 157, 4867
The HCF of 8463,4867 is 31.
Lets's calculate GCF of 8463,4867
| 31 | 8463, 4867 |
| 273, 157 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 8463,4867 By Matching Biggest Common Factor Method
Now, list down the factors of 8463
:1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463
Now, list down the factors of 4867
:1,31,157,4867
Greatest Common Factor
We found the factors 8463,4867 . The biggest common factor number is the GCF number.
So the greatest common factor 8463,4867 is 31.
Lets's calculate LCM of 362,930
| 2 | 362, 930 |
| 181, 465 |
∴ So the LCM of the given numbers is 2 x 181 x 465 = 168330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/168330
Therefore, the GCF of Fractions 8463/362,4867/930 is 31/168330
Least Common Multiple of 362,930 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 362,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,930) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,930) x common factors =2 x 1 = 2
LCM(362,930) = ( 362 × 930 ) / 2
LCM(362,930) = 336660 / 2
LCM(362,930) = 168330
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FAQs on GCF of Fractions of 8463/362, 4867/930
1. What is the HCF of 8463,4867?
The HCF of 8463,4867 is 31
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 8463/362, 4867/930?
Answer: GCF of Numerators as per given numbers 8463/362, 4867/930 is
GCF of Numerators i.e. for 8463,4867 is 31
LCM of denominators i.e. for 362,930 is 168330.
Thus, GCF of Fractions is 31/168330.Finally, GCF of Fractions for 8463/362, 4867/930 is 31/168330.