GCF of 7248/818, 1152/1023
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7248/818, 1152/1023 i.e 48/836814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7248/818, 1152/1023.
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 7248/818,1152/1023?
Given fractions are 7248/818,1152/1023
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 7248/818,1152/1023, numerators are 7248,1152
Denominators are 818,1023
The GCF of 7248,1152 is 48 .
LCM of 818,1023 is 836814.
The greatest common factor of 7248/818,1152/1023 = [GCF of 7248,1152]/[LCM of 818,1023]= 48/836814
Therefore, the GCF of 7248/818,1152/1023 is 48/836814.
To find the highest common factor of 7248,1152, we have to find the factors of both numbers and list the highest common factor.
The factors of 7248 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 7248
The factors of 1152 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152
The HCF of 7248,1152 is 48.
Lets's calculate GCF of 7248,1152
| 2 | 7248, 1152 |
| 2 | 3624, 576 |
| 2 | 1812, 288 |
| 2 | 906, 144 |
| 3 | 453, 72 |
| 151, 24 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 7248,1152 By Matching Biggest Common Factor Method
Now, list down the factors of 7248
:1,2,3,4,6,8,12,16,24,48,151,302,453,604,906,1208,1812,2416,3624,7248
Now, list down the factors of 1152
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,288,384,576,1152
Greatest Common Factor
We found the factors 7248,1152 . The biggest common factor number is the GCF number.
So the greatest common factor 7248,1152 is 48.
Lets's calculate LCM of 818,1023
Given numbers has no common factors except 1. So, there LCM is their product i.e 836814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/836814
Therefore, the GCF of Fractions 7248/818,1152/1023 is 48/836814
Least Common Multiple of 818,1023 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 818,1023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,1023) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(818,1023) x common factors =1 x 1 = 1
LCM(818,1023) = ( 818 × 1023 ) / 1
LCM(818,1023) = 836814 / 1
LCM(818,1023) = 836814
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FAQs on GCF of Fractions of 7248/818, 1152/1023
1. What is the HCF of 7248,1152?
The HCF of 7248,1152 is 48
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 7248/818, 1152/1023?
Answer: GCF of Numerators as per given numbers 7248/818, 1152/1023 is
GCF of Numerators i.e. for 7248,1152 is 48
LCM of denominators i.e. for 818,1023 is 836814.
Thus, GCF of Fractions is 48/836814.Finally, GCF of Fractions for 7248/818, 1152/1023 is 48/836814.