GCF of 5776/823, 6528/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5776/823, 6528/967 i.e 16/795841 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5776/823, 6528/967.
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 5776/823,6528/967?
Given fractions are 5776/823,6528/967
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 5776/823,6528/967, numerators are 5776,6528
Denominators are 823,967
The GCF of 5776,6528 is 16 .
LCM of 823,967 is 795841.
The greatest common factor of 5776/823,6528/967 = [GCF of 5776,6528]/[LCM of 823,967]= 16/795841
Therefore, the GCF of 5776/823,6528/967 is 16/795841.
To find the highest common factor of 5776,6528, we have to find the factors of both numbers and list the highest common factor.
The factors of 5776 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 361, 722, 1444, 2888, 5776
The factors of 6528 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528
The HCF of 5776,6528 is 16.
Lets's calculate GCF of 5776,6528
| 2 | 5776, 6528 |
| 2 | 2888, 3264 |
| 2 | 1444, 1632 |
| 2 | 722, 816 |
| 361, 408 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5776,6528 By Matching Biggest Common Factor Method
Now, list down the factors of 5776
:1,2,4,8,16,19,38,76,152,304,361,722,1444,2888,5776
Now, list down the factors of 6528
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528
Greatest Common Factor
We found the factors 5776,6528 . The biggest common factor number is the GCF number.
So the greatest common factor 5776,6528 is 16.
Lets's calculate LCM of 823,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 795841
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/795841
Therefore, the GCF of Fractions 5776/823,6528/967 is 16/795841
Least Common Multiple of 823,967 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 823,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,967) x common factors =1 x 1 = 1
LCM(823,967) = ( 823 × 967 ) / 1
LCM(823,967) = 795841 / 1
LCM(823,967) = 795841
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FAQs on GCF of Fractions of 5776/823, 6528/967
1. What is the HCF of 5776,6528?
The HCF of 5776,6528 is 16
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 5776/823, 6528/967?
Answer: GCF of Numerators as per given numbers 5776/823, 6528/967 is
GCF of Numerators i.e. for 5776,6528 is 16
LCM of denominators i.e. for 823,967 is 795841.
Thus, GCF of Fractions is 16/795841.Finally, GCF of Fractions for 5776/823, 6528/967 is 16/795841.