GCF of 8666/232, 3604/1149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8666/232, 3604/1149 i.e 2/266568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8666/232, 3604/1149.
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 8666/232,3604/1149?
Given fractions are 8666/232,3604/1149
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 8666/232,3604/1149, numerators are 8666,3604
Denominators are 232,1149
The GCF of 8666,3604 is 2 .
LCM of 232,1149 is 266568.
The greatest common factor of 8666/232,3604/1149 = [GCF of 8666,3604]/[LCM of 232,1149]= 2/266568
Therefore, the GCF of 8666/232,3604/1149 is 2/266568.
To find the highest common factor of 8666,3604, we have to find the factors of both numbers and list the highest common factor.
The factors of 8666 are 1, 2, 7, 14, 619, 1238, 4333, 8666
The factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604
The HCF of 8666,3604 is 2.
Lets's calculate GCF of 8666,3604
| 2 | 8666, 3604 |
| 4333, 1802 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8666,3604 By Matching Biggest Common Factor Method
Now, list down the factors of 8666
:1,2,7,14,619,1238,4333,8666
Now, list down the factors of 3604
:1,2,4,17,34,53,68,106,212,901,1802,3604
Greatest Common Factor
We found the factors 8666,3604 . The biggest common factor number is the GCF number.
So the greatest common factor 8666,3604 is 2.
Lets's calculate LCM of 232,1149
Given numbers has no common factors except 1. So, there LCM is their product i.e 266568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/266568
Therefore, the GCF of Fractions 8666/232,3604/1149 is 2/266568
Least Common Multiple of 232,1149 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 232,1149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,1149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(232,1149) x common factors =1 x 1 = 1
LCM(232,1149) = ( 232 × 1149 ) / 1
LCM(232,1149) = 266568 / 1
LCM(232,1149) = 266568
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FAQs on GCF of Fractions of 8666/232, 3604/1149
1. What is the HCF of 8666,3604?
The HCF of 8666,3604 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 8666/232, 3604/1149?
Answer: GCF of Numerators as per given numbers 8666/232, 3604/1149 is
GCF of Numerators i.e. for 8666,3604 is 2
LCM of denominators i.e. for 232,1149 is 266568.
Thus, GCF of Fractions is 2/266568.Finally, GCF of Fractions for 8666/232, 3604/1149 is 2/266568.