GCF of 7296/889, 9648/8268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7296/889, 9648/8268 i.e 48/7350252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7296/889, 9648/8268.
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 7296/889,9648/8268?
Given fractions are 7296/889,9648/8268
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 7296/889,9648/8268, numerators are 7296,9648
Denominators are 889,8268
The GCF of 7296,9648 is 48 .
LCM of 889,8268 is 7350252.
The greatest common factor of 7296/889,9648/8268 = [GCF of 7296,9648]/[LCM of 889,8268]= 48/7350252
Therefore, the GCF of 7296/889,9648/8268 is 48/7350252.
To find the highest common factor of 7296,9648, we have to find the factors of both numbers and list the highest common factor.
The factors of 7296 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 64, 76, 96, 114, 128, 152, 192, 228, 304, 384, 456, 608, 912, 1216, 1824, 2432, 3648, 7296
The factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648
The HCF of 7296,9648 is 48.
Lets's calculate GCF of 7296,9648
| 2 | 7296, 9648 |
| 2 | 3648, 4824 |
| 2 | 1824, 2412 |
| 2 | 912, 1206 |
| 3 | 456, 603 |
| 152, 201 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Greatest Common Factor of 7296,9648 By Matching Biggest Common Factor Method
Now, list down the factors of 7296
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,64,76,96,114,128,152,192,228,304,384,456,608,912,1216,1824,2432,3648,7296
Now, list down the factors of 9648
:1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648
Greatest Common Factor
We found the factors 7296,9648 . The biggest common factor number is the GCF number.
So the greatest common factor 7296,9648 is 48.
Lets's calculate LCM of 889,8268
Given numbers has no common factors except 1. So, there LCM is their product i.e 7350252
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 48/7350252
Therefore, the GCF of Fractions 7296/889,9648/8268 is 48/7350252
Least Common Multiple of 889,8268 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 889,8268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,8268) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,8268) x common factors =1 x 1 = 1
LCM(889,8268) = ( 889 × 8268 ) / 1
LCM(889,8268) = 7350252 / 1
LCM(889,8268) = 7350252
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FAQs on GCF of Fractions of 7296/889, 9648/8268
1. What is the HCF of 7296,9648?
The HCF of 7296,9648 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 7296/889, 9648/8268?
Answer: GCF of Numerators as per given numbers 7296/889, 9648/8268 is
GCF of Numerators i.e. for 7296,9648 is 48
LCM of denominators i.e. for 889,8268 is 7350252.
Thus, GCF of Fractions is 48/7350252.Finally, GCF of Fractions for 7296/889, 9648/8268 is 48/7350252.