GCF of 9024/893, 7905/3092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9024/893, 7905/3092 i.e 3/2761156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9024/893, 7905/3092.
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 9024/893,7905/3092?
Given fractions are 9024/893,7905/3092
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 9024/893,7905/3092, numerators are 9024,7905
Denominators are 893,3092
The GCF of 9024,7905 is 3 .
LCM of 893,3092 is 2761156.
The greatest common factor of 9024/893,7905/3092 = [GCF of 9024,7905]/[LCM of 893,3092]= 3/2761156
Therefore, the GCF of 9024/893,7905/3092 is 3/2761156.
To find the highest common factor of 9024,7905, we have to find the factors of both numbers and list the highest common factor.
The factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024
The factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905
The HCF of 9024,7905 is 3.
Lets's calculate GCF of 9024,7905
| 3 | 9024, 7905 |
| 3008, 2635 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9024,7905 By Matching Biggest Common Factor Method
Now, list down the factors of 9024
:1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024
Now, list down the factors of 7905
:1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Greatest Common Factor
We found the factors 9024,7905 . The biggest common factor number is the GCF number.
So the greatest common factor 9024,7905 is 3.
Lets's calculate LCM of 893,3092
Given numbers has no common factors except 1. So, there LCM is their product i.e 2761156
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2761156
Therefore, the GCF of Fractions 9024/893,7905/3092 is 3/2761156
Least Common Multiple of 893,3092 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 893,3092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(893,3092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(893,3092) x common factors =1 x 1 = 1
LCM(893,3092) = ( 893 × 3092 ) / 1
LCM(893,3092) = 2761156 / 1
LCM(893,3092) = 2761156
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9024/893, 7905/3092
1. What is the HCF of 9024,7905?
The HCF of 9024,7905 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 9024/893, 7905/3092?
Answer: GCF of Numerators as per given numbers 9024/893, 7905/3092 is
GCF of Numerators i.e. for 9024,7905 is 3
LCM of denominators i.e. for 893,3092 is 2761156.
Thus, GCF of Fractions is 3/2761156.Finally, GCF of Fractions for 9024/893, 7905/3092 is 3/2761156.