GCF of 9454/143, 8642/823
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9454/143, 8642/823 i.e 58/117689 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9454/143, 8642/823.
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 9454/143,8642/823?
Given fractions are 9454/143,8642/823
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 9454/143,8642/823, numerators are 9454,8642
Denominators are 143,823
The GCF of 9454,8642 is 58 .
LCM of 143,823 is 117689.
The greatest common factor of 9454/143,8642/823 = [GCF of 9454,8642]/[LCM of 143,823]= 58/117689
Therefore, the GCF of 9454/143,8642/823 is 58/117689.
To find the highest common factor of 9454,8642, we have to find the factors of both numbers and list the highest common factor.
The factors of 9454 are 1, 2, 29, 58, 163, 326, 4727, 9454
The factors of 8642 are 1, 2, 29, 58, 149, 298, 4321, 8642
The HCF of 9454,8642 is 58.
Lets's calculate GCF of 9454,8642
| 2 | 9454, 8642 |
| 29 | 4727, 4321 |
| 163, 149 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 9454,8642 By Matching Biggest Common Factor Method
Now, list down the factors of 9454
:1,2,29,58,163,326,4727,9454
Now, list down the factors of 8642
:1,2,29,58,149,298,4321,8642
Greatest Common Factor
We found the factors 9454,8642 . The biggest common factor number is the GCF number.
So the greatest common factor 9454,8642 is 58.
Lets's calculate LCM of 143,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 117689
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/117689
Therefore, the GCF of Fractions 9454/143,8642/823 is 58/117689
Least Common Multiple of 143,823 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 143,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(143,823) x common factors =1 x 1 = 1
LCM(143,823) = ( 143 × 823 ) / 1
LCM(143,823) = 117689 / 1
LCM(143,823) = 117689
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FAQs on GCF of Fractions of 9454/143, 8642/823
1. What is the HCF of 9454,8642?
The HCF of 9454,8642 is 58
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 9454/143, 8642/823?
Answer: GCF of Numerators as per given numbers 9454/143, 8642/823 is
GCF of Numerators i.e. for 9454,8642 is 58
LCM of denominators i.e. for 143,823 is 117689.
Thus, GCF of Fractions is 58/117689.Finally, GCF of Fractions for 9454/143, 8642/823 is 58/117689.