GCF of 8664/209, 8134/2766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8664/209, 8134/2766 i.e 2/578094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8664/209, 8134/2766.
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 8664/209,8134/2766?
Given fractions are 8664/209,8134/2766
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 8664/209,8134/2766, numerators are 8664,8134
Denominators are 209,2766
The GCF of 8664,8134 is 2 .
LCM of 209,2766 is 578094.
The greatest common factor of 8664/209,8134/2766 = [GCF of 8664,8134]/[LCM of 209,2766]= 2/578094
Therefore, the GCF of 8664/209,8134/2766 is 2/578094.
To find the highest common factor of 8664,8134, we have to find the factors of both numbers and list the highest common factor.
The factors of 8664 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664
The factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134
The HCF of 8664,8134 is 2.
Lets's calculate GCF of 8664,8134
| 2 | 8664, 8134 |
| 4332, 4067 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8664,8134 By Matching Biggest Common Factor Method
Now, list down the factors of 8664
:1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664
Now, list down the factors of 8134
:1,2,7,14,49,83,98,166,581,1162,4067,8134
Greatest Common Factor
We found the factors 8664,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 8664,8134 is 2.
Lets's calculate LCM of 209,2766
Given numbers has no common factors except 1. So, there LCM is their product i.e 578094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/578094
Therefore, the GCF of Fractions 8664/209,8134/2766 is 2/578094
Least Common Multiple of 209,2766 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 209,2766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,2766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,2766) x common factors =1 x 1 = 1
LCM(209,2766) = ( 209 × 2766 ) / 1
LCM(209,2766) = 578094 / 1
LCM(209,2766) = 578094
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FAQs on GCF of Fractions of 8664/209, 8134/2766
1. What is the HCF of 8664,8134?
The HCF of 8664,8134 is 2
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 8664/209, 8134/2766?
Answer: GCF of Numerators as per given numbers 8664/209, 8134/2766 is
GCF of Numerators i.e. for 8664,8134 is 2
LCM of denominators i.e. for 209,2766 is 578094.
Thus, GCF of Fractions is 2/578094.Finally, GCF of Fractions for 8664/209, 8134/2766 is 2/578094.