GCF of 4386/125, 9546/8314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4386/125, 9546/8314 i.e 258/1039250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4386/125, 9546/8314.
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 4386/125,9546/8314?
Given fractions are 4386/125,9546/8314
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 4386/125,9546/8314, numerators are 4386,9546
Denominators are 125,8314
The GCF of 4386,9546 is 258 .
LCM of 125,8314 is 1039250.
The greatest common factor of 4386/125,9546/8314 = [GCF of 4386,9546]/[LCM of 125,8314]= 258/1039250
Therefore, the GCF of 4386/125,9546/8314 is 258/1039250.
To find the highest common factor of 4386,9546, we have to find the factors of both numbers and list the highest common factor.
The factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386
The factors of 9546 are 1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773, 9546
The HCF of 4386,9546 is 258.
Lets's calculate GCF of 4386,9546
| 2 | 4386, 9546 |
| 3 | 2193, 4773 |
| 43 | 731, 1591 |
| 17, 37 |
∴ So the GCF of the given numbers is 2 x 3 x 43 = 258
Greatest Common Factor of 4386,9546 By Matching Biggest Common Factor Method
Now, list down the factors of 4386
:1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386
Now, list down the factors of 9546
:1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546
Greatest Common Factor
We found the factors 4386,9546 . The biggest common factor number is the GCF number.
So the greatest common factor 4386,9546 is 258.
Lets's calculate LCM of 125,8314
Given numbers has no common factors except 1. So, there LCM is their product i.e 1039250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 258/1039250
Therefore, the GCF of Fractions 4386/125,9546/8314 is 258/1039250
Least Common Multiple of 125,8314 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 125,8314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(125,8314) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(125,8314) x common factors =1 x 1 = 1
LCM(125,8314) = ( 125 × 8314 ) / 1
LCM(125,8314) = 1039250 / 1
LCM(125,8314) = 1039250
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FAQs on GCF of Fractions of 4386/125, 9546/8314
1. What is the HCF of 4386,9546?
The HCF of 4386,9546 is 258
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 4386/125, 9546/8314?
Answer: GCF of Numerators as per given numbers 4386/125, 9546/8314 is
GCF of Numerators i.e. for 4386,9546 is 258
LCM of denominators i.e. for 125,8314 is 1039250.
Thus, GCF of Fractions is 258/1039250.Finally, GCF of Fractions for 4386/125, 9546/8314 is 258/1039250.