GCF of 6372/230, 9681/2269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6372/230, 9681/2269 i.e 3/521870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6372/230, 9681/2269.
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 6372/230,9681/2269?
Given fractions are 6372/230,9681/2269
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 6372/230,9681/2269, numerators are 6372,9681
Denominators are 230,2269
The GCF of 6372,9681 is 3 .
LCM of 230,2269 is 521870.
The greatest common factor of 6372/230,9681/2269 = [GCF of 6372,9681]/[LCM of 230,2269]= 3/521870
Therefore, the GCF of 6372/230,9681/2269 is 3/521870.
To find the highest common factor of 6372,9681, we have to find the factors of both numbers and list the highest common factor.
The factors of 6372 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 59, 108, 118, 177, 236, 354, 531, 708, 1062, 1593, 2124, 3186, 6372
The factors of 9681 are 1, 3, 7, 21, 461, 1383, 3227, 9681
The HCF of 6372,9681 is 3.
Lets's calculate GCF of 6372,9681
| 3 | 6372, 9681 |
| 2124, 3227 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6372,9681 By Matching Biggest Common Factor Method
Now, list down the factors of 6372
:1,2,3,4,6,9,12,18,27,36,54,59,108,118,177,236,354,531,708,1062,1593,2124,3186,6372
Now, list down the factors of 9681
:1,3,7,21,461,1383,3227,9681
Greatest Common Factor
We found the factors 6372,9681 . The biggest common factor number is the GCF number.
So the greatest common factor 6372,9681 is 3.
Lets's calculate LCM of 230,2269
Given numbers has no common factors except 1. So, there LCM is their product i.e 521870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/521870
Therefore, the GCF of Fractions 6372/230,9681/2269 is 3/521870
Least Common Multiple of 230,2269 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 230,2269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,2269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(230,2269) x common factors =1 x 1 = 1
LCM(230,2269) = ( 230 × 2269 ) / 1
LCM(230,2269) = 521870 / 1
LCM(230,2269) = 521870
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FAQs on GCF of Fractions of 6372/230, 9681/2269
1. What is the HCF of 6372,9681?
The HCF of 6372,9681 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 6372/230, 9681/2269?
Answer: GCF of Numerators as per given numbers 6372/230, 9681/2269 is
GCF of Numerators i.e. for 6372,9681 is 3
LCM of denominators i.e. for 230,2269 is 521870.
Thus, GCF of Fractions is 3/521870.Finally, GCF of Fractions for 6372/230, 9681/2269 is 3/521870.