GCF of 9367/463, 4292/4870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9367/463, 4292/4870 i.e 29/2254810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9367/463, 4292/4870.
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 9367/463,4292/4870?
Given fractions are 9367/463,4292/4870
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 9367/463,4292/4870, numerators are 9367,4292
Denominators are 463,4870
The GCF of 9367,4292 is 29 .
LCM of 463,4870 is 2254810.
The greatest common factor of 9367/463,4292/4870 = [GCF of 9367,4292]/[LCM of 463,4870]= 29/2254810
Therefore, the GCF of 9367/463,4292/4870 is 29/2254810.
To find the highest common factor of 9367,4292, we have to find the factors of both numbers and list the highest common factor.
The factors of 9367 are 1, 17, 19, 29, 323, 493, 551, 9367
The factors of 4292 are 1, 2, 4, 29, 37, 58, 74, 116, 148, 1073, 2146, 4292
The HCF of 9367,4292 is 29.
Lets's calculate GCF of 9367,4292
| 29 | 9367, 4292 |
| 323, 148 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 9367,4292 By Matching Biggest Common Factor Method
Now, list down the factors of 9367
:1,17,19,29,323,493,551,9367
Now, list down the factors of 4292
:1,2,4,29,37,58,74,116,148,1073,2146,4292
Greatest Common Factor
We found the factors 9367,4292 . The biggest common factor number is the GCF number.
So the greatest common factor 9367,4292 is 29.
Lets's calculate LCM of 463,4870
Given numbers has no common factors except 1. So, there LCM is their product i.e 2254810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/2254810
Therefore, the GCF of Fractions 9367/463,4292/4870 is 29/2254810
Least Common Multiple of 463,4870 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 463,4870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,4870) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,4870) x common factors =1 x 1 = 1
LCM(463,4870) = ( 463 × 4870 ) / 1
LCM(463,4870) = 2254810 / 1
LCM(463,4870) = 2254810
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FAQs on GCF of Fractions of 9367/463, 4292/4870
1. What is the HCF of 9367,4292?
The HCF of 9367,4292 is 29
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 9367/463, 4292/4870?
Answer: GCF of Numerators as per given numbers 9367/463, 4292/4870 is
GCF of Numerators i.e. for 9367,4292 is 29
LCM of denominators i.e. for 463,4870 is 2254810.
Thus, GCF of Fractions is 29/2254810.Finally, GCF of Fractions for 9367/463, 4292/4870 is 29/2254810.