GCF of 8379/231, 7577/9069
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8379/231, 7577/9069 i.e 1/698313 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8379/231, 7577/9069.
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 8379/231,7577/9069?
Given fractions are 8379/231,7577/9069
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 8379/231,7577/9069, numerators are 8379,7577
Denominators are 231,9069
The GCF of 8379,7577 is 1 .
LCM of 231,9069 is 698313.
The greatest common factor of 8379/231,7577/9069 = [GCF of 8379,7577]/[LCM of 231,9069]= 1/698313
Therefore, the GCF of 8379/231,7577/9069 is 1/698313.
To find the highest common factor of 8379,7577, we have to find the factors of both numbers and list the highest common factor.
The factors of 8379 are 1, 3, 7, 9, 19, 21, 49, 57, 63, 133, 147, 171, 399, 441, 931, 1197, 2793, 8379
The factors of 7577 are 1, 7577
The HCF of 8379,7577 is 1.
Lets's calculate GCF of 8379,7577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8379,7577 By Matching Biggest Common Factor Method
Now, list down the factors of 8379
:1,3,7,9,19,21,49,57,63,133,147,171,399,441,931,1197,2793,8379
Now, list down the factors of 7577
:1,7577
Greatest Common Factor
We found the factors 8379,7577 . The biggest common factor number is the GCF number.
So the greatest common factor 8379,7577 is 1.
Lets's calculate LCM of 231,9069
| 3 | 231, 9069 |
| 77, 3023 |
∴ So the LCM of the given numbers is 3 x 77 x 3023 = 698313
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698313
Therefore, the GCF of Fractions 8379/231,7577/9069 is 1/698313
Least Common Multiple of 231,9069 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 231,9069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,9069) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(231,9069) x common factors =3 x 1 = 3
LCM(231,9069) = ( 231 × 9069 ) / 3
LCM(231,9069) = 2094939 / 3
LCM(231,9069) = 698313
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FAQs on GCF of Fractions of 8379/231, 7577/9069
1. What is the HCF of 8379,7577?
The HCF of 8379,7577 is 1
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 8379/231, 7577/9069?
Answer: GCF of Numerators as per given numbers 8379/231, 7577/9069 is
GCF of Numerators i.e. for 8379,7577 is 1
LCM of denominators i.e. for 231,9069 is 698313.
Thus, GCF of Fractions is 1/698313.Finally, GCF of Fractions for 8379/231, 7577/9069 is 1/698313.