GCF of 2320/927, 7469/1824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2320/927, 7469/1824 i.e 1/563616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2320/927, 7469/1824.
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 2320/927,7469/1824?
Given fractions are 2320/927,7469/1824
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 2320/927,7469/1824, numerators are 2320,7469
Denominators are 927,1824
The GCF of 2320,7469 is 1 .
LCM of 927,1824 is 563616.
The greatest common factor of 2320/927,7469/1824 = [GCF of 2320,7469]/[LCM of 927,1824]= 1/563616
Therefore, the GCF of 2320/927,7469/1824 is 1/563616.
To find the highest common factor of 2320,7469, we have to find the factors of both numbers and list the highest common factor.
The factors of 2320 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160, 2320
The factors of 7469 are 1, 7, 11, 77, 97, 679, 1067, 7469
The HCF of 2320,7469 is 1.
Lets's calculate GCF of 2320,7469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2320,7469 By Matching Biggest Common Factor Method
Now, list down the factors of 2320
:1,2,4,5,8,10,16,20,29,40,58,80,116,145,232,290,464,580,1160,2320
Now, list down the factors of 7469
:1,7,11,77,97,679,1067,7469
Greatest Common Factor
We found the factors 2320,7469 . The biggest common factor number is the GCF number.
So the greatest common factor 2320,7469 is 1.
Lets's calculate LCM of 927,1824
| 3 | 927, 1824 |
| 309, 608 |
∴ So the LCM of the given numbers is 3 x 309 x 608 = 563616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/563616
Therefore, the GCF of Fractions 2320/927,7469/1824 is 1/563616
Least Common Multiple of 927,1824 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 927,1824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,1824) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(927,1824) x common factors =3 x 1 = 3
LCM(927,1824) = ( 927 × 1824 ) / 3
LCM(927,1824) = 1690848 / 3
LCM(927,1824) = 563616
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FAQs on GCF of Fractions of 2320/927, 7469/1824
1. What is the HCF of 2320,7469?
The HCF of 2320,7469 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 2320/927, 7469/1824?
Answer: GCF of Numerators as per given numbers 2320/927, 7469/1824 is
GCF of Numerators i.e. for 2320,7469 is 1
LCM of denominators i.e. for 927,1824 is 563616.
Thus, GCF of Fractions is 1/563616.Finally, GCF of Fractions for 2320/927, 7469/1824 is 1/563616.