GCF of 8439/180, 4376/6166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8439/180, 4376/6166 i.e 1/554940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8439/180, 4376/6166.
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 8439/180,4376/6166?
Given fractions are 8439/180,4376/6166
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 8439/180,4376/6166, numerators are 8439,4376
Denominators are 180,6166
The GCF of 8439,4376 is 1 .
LCM of 180,6166 is 554940.
The greatest common factor of 8439/180,4376/6166 = [GCF of 8439,4376]/[LCM of 180,6166]= 1/554940
Therefore, the GCF of 8439/180,4376/6166 is 1/554940.
To find the highest common factor of 8439,4376, we have to find the factors of both numbers and list the highest common factor.
The factors of 8439 are 1, 3, 29, 87, 97, 291, 2813, 8439
The factors of 4376 are 1, 2, 4, 8, 547, 1094, 2188, 4376
The HCF of 8439,4376 is 1.
Lets's calculate GCF of 8439,4376
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8439,4376 By Matching Biggest Common Factor Method
Now, list down the factors of 8439
:1,3,29,87,97,291,2813,8439
Now, list down the factors of 4376
:1,2,4,8,547,1094,2188,4376
Greatest Common Factor
We found the factors 8439,4376 . The biggest common factor number is the GCF number.
So the greatest common factor 8439,4376 is 1.
Lets's calculate LCM of 180,6166
| 2 | 180, 6166 |
| 90, 3083 |
∴ So the LCM of the given numbers is 2 x 90 x 3083 = 554940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/554940
Therefore, the GCF of Fractions 8439/180,4376/6166 is 1/554940
Least Common Multiple of 180,6166 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 180,6166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,6166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(180,6166) x common factors =2 x 1 = 2
LCM(180,6166) = ( 180 × 6166 ) / 2
LCM(180,6166) = 1109880 / 2
LCM(180,6166) = 554940
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FAQs on GCF of Fractions of 8439/180, 4376/6166
1. What is the HCF of 8439,4376?
The HCF of 8439,4376 is 1
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 8439/180, 4376/6166?
Answer: GCF of Numerators as per given numbers 8439/180, 4376/6166 is
GCF of Numerators i.e. for 8439,4376 is 1
LCM of denominators i.e. for 180,6166 is 554940.
Thus, GCF of Fractions is 1/554940.Finally, GCF of Fractions for 8439/180, 4376/6166 is 1/554940.