GCF of 8232/687, 8661/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8232/687, 8661/217 i.e 3/149079 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8232/687, 8661/217.
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 8232/687,8661/217?
Given fractions are 8232/687,8661/217
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 8232/687,8661/217, numerators are 8232,8661
Denominators are 687,217
The GCF of 8232,8661 is 3 .
LCM of 687,217 is 149079.
The greatest common factor of 8232/687,8661/217 = [GCF of 8232,8661]/[LCM of 687,217]= 3/149079
Therefore, the GCF of 8232/687,8661/217 is 3/149079.
To find the highest common factor of 8232,8661, we have to find the factors of both numbers and list the highest common factor.
The factors of 8232 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 343, 392, 588, 686, 1029, 1176, 1372, 2058, 2744, 4116, 8232
The factors of 8661 are 1, 3, 2887, 8661
The HCF of 8232,8661 is 3.
Lets's calculate GCF of 8232,8661
| 3 | 8232, 8661 |
| 2744, 2887 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8232,8661 By Matching Biggest Common Factor Method
Now, list down the factors of 8232
:1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232
Now, list down the factors of 8661
:1,3,2887,8661
Greatest Common Factor
We found the factors 8232,8661 . The biggest common factor number is the GCF number.
So the greatest common factor 8232,8661 is 3.
Lets's calculate LCM of 687,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 149079
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149079
Therefore, the GCF of Fractions 8232/687,8661/217 is 3/149079
Least Common Multiple of 687,217 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 687,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,217) x common factors =1 x 1 = 1
LCM(687,217) = ( 687 × 217 ) / 1
LCM(687,217) = 149079 / 1
LCM(687,217) = 149079
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FAQs on GCF of Fractions of 8232/687, 8661/217
1. What is the HCF of 8232,8661?
The HCF of 8232,8661 is 3
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 8232/687, 8661/217?
Answer: GCF of Numerators as per given numbers 8232/687, 8661/217 is
GCF of Numerators i.e. for 8232,8661 is 3
LCM of denominators i.e. for 687,217 is 149079.
Thus, GCF of Fractions is 3/149079.Finally, GCF of Fractions for 8232/687, 8661/217 is 3/149079.