GCF of 591/213, 8668/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 591/213, 8668/212 i.e 197/45156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 591/213, 8668/212.
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 591/213,8668/212?
Given fractions are 591/213,8668/212
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 591/213,8668/212, numerators are 591,8668
Denominators are 213,212
The GCF of 591,8668 is 197 .
LCM of 213,212 is 45156.
The greatest common factor of 591/213,8668/212 = [GCF of 591,8668]/[LCM of 213,212]= 197/45156
Therefore, the GCF of 591/213,8668/212 is 197/45156.
To find the highest common factor of 591,8668, we have to find the factors of both numbers and list the highest common factor.
The factors of 591 are 1, 3, 197, 591
The factors of 8668 are 1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334, 8668
The HCF of 591,8668 is 197.
Lets's calculate GCF of 591,8668
| 197 | 591, 8668 |
| 3, 44 |
∴ So the GCF of the given numbers is 197 = 197
Greatest Common Factor of 591,8668 By Matching Biggest Common Factor Method
Now, list down the factors of 591
:1,3,197,591
Now, list down the factors of 8668
:1,2,4,11,22,44,197,394,788,2167,4334,8668
Greatest Common Factor
We found the factors 591,8668 . The biggest common factor number is the GCF number.
So the greatest common factor 591,8668 is 197.
Lets's calculate LCM of 213,212
Given numbers has no common factors except 1. So, there LCM is their product i.e 45156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 197/45156
Therefore, the GCF of Fractions 591/213,8668/212 is 197/45156
Least Common Multiple of 213,212 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 213,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,212) x common factors =1 x 1 = 1
LCM(213,212) = ( 213 × 212 ) / 1
LCM(213,212) = 45156 / 1
LCM(213,212) = 45156
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FAQs on GCF of Fractions of 591/213, 8668/212
1. What is the HCF of 591,8668?
The HCF of 591,8668 is 197
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 591/213, 8668/212?
Answer: GCF of Numerators as per given numbers 591/213, 8668/212 is
GCF of Numerators i.e. for 591,8668 is 197
LCM of denominators i.e. for 213,212 is 45156.
Thus, GCF of Fractions is 197/45156.Finally, GCF of Fractions for 591/213, 8668/212 is 197/45156.