GCF of 8771/363, 6623/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8771/363, 6623/326 i.e 179/118338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8771/363, 6623/326.
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 8771/363,6623/326?
Given fractions are 8771/363,6623/326
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 8771/363,6623/326, numerators are 8771,6623
Denominators are 363,326
The GCF of 8771,6623 is 179 .
LCM of 363,326 is 118338.
The greatest common factor of 8771/363,6623/326 = [GCF of 8771,6623]/[LCM of 363,326]= 179/118338
Therefore, the GCF of 8771/363,6623/326 is 179/118338.
To find the highest common factor of 8771,6623, we have to find the factors of both numbers and list the highest common factor.
The factors of 8771 are 1, 7, 49, 179, 1253, 8771
The factors of 6623 are 1, 37, 179, 6623
The HCF of 8771,6623 is 179.
Lets's calculate GCF of 8771,6623
| 179 | 8771, 6623 |
| 49, 37 |
∴ So the GCF of the given numbers is 179 = 179
Greatest Common Factor of 8771,6623 By Matching Biggest Common Factor Method
Now, list down the factors of 8771
:1,7,49,179,1253,8771
Now, list down the factors of 6623
:1,37,179,6623
Greatest Common Factor
We found the factors 8771,6623 . The biggest common factor number is the GCF number.
So the greatest common factor 8771,6623 is 179.
Lets's calculate LCM of 363,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 118338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 179/118338
Therefore, the GCF of Fractions 8771/363,6623/326 is 179/118338
Least Common Multiple of 363,326 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 363,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(363,326) x common factors =1 x 1 = 1
LCM(363,326) = ( 363 × 326 ) / 1
LCM(363,326) = 118338 / 1
LCM(363,326) = 118338
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FAQs on GCF of Fractions of 8771/363, 6623/326
1. What is the HCF of 8771,6623?
The HCF of 8771,6623 is 179
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 8771/363, 6623/326?
Answer: GCF of Numerators as per given numbers 8771/363, 6623/326 is
GCF of Numerators i.e. for 8771,6623 is 179
LCM of denominators i.e. for 363,326 is 118338.
Thus, GCF of Fractions is 179/118338.Finally, GCF of Fractions for 8771/363, 6623/326 is 179/118338.