GCF of 5796/225, 6027/5776
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5796/225, 6027/5776 i.e 21/1299600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5796/225, 6027/5776.
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 5796/225,6027/5776?
Given fractions are 5796/225,6027/5776
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 5796/225,6027/5776, numerators are 5796,6027
Denominators are 225,5776
The GCF of 5796,6027 is 21 .
LCM of 225,5776 is 1299600.
The greatest common factor of 5796/225,6027/5776 = [GCF of 5796,6027]/[LCM of 225,5776]= 21/1299600
Therefore, the GCF of 5796/225,6027/5776 is 21/1299600.
To find the highest common factor of 5796,6027, we have to find the factors of both numbers and list the highest common factor.
The factors of 5796 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 63, 69, 84, 92, 126, 138, 161, 207, 252, 276, 322, 414, 483, 644, 828, 966, 1449, 1932, 2898, 5796
The factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
The HCF of 5796,6027 is 21.
Lets's calculate GCF of 5796,6027
| 3 | 5796, 6027 |
| 7 | 1932, 2009 |
| 276, 287 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 5796,6027 By Matching Biggest Common Factor Method
Now, list down the factors of 5796
:1,2,3,4,6,7,9,12,14,18,21,23,28,36,42,46,63,69,84,92,126,138,161,207,252,276,322,414,483,644,828,966,1449,1932,2898,5796
Now, list down the factors of 6027
:1,3,7,21,41,49,123,147,287,861,2009,6027
Greatest Common Factor
We found the factors 5796,6027 . The biggest common factor number is the GCF number.
So the greatest common factor 5796,6027 is 21.
Lets's calculate LCM of 225,5776
Given numbers has no common factors except 1. So, there LCM is their product i.e 1299600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1299600
Therefore, the GCF of Fractions 5796/225,6027/5776 is 21/1299600
Least Common Multiple of 225,5776 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 225,5776 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(225,5776) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(225,5776) x common factors =1 x 1 = 1
LCM(225,5776) = ( 225 × 5776 ) / 1
LCM(225,5776) = 1299600 / 1
LCM(225,5776) = 1299600
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FAQs on GCF of Fractions of 5796/225, 6027/5776
1. What is the HCF of 5796,6027?
The HCF of 5796,6027 is 21
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 5796/225, 6027/5776?
Answer: GCF of Numerators as per given numbers 5796/225, 6027/5776 is
GCF of Numerators i.e. for 5796,6027 is 21
LCM of denominators i.e. for 225,5776 is 1299600.
Thus, GCF of Fractions is 21/1299600.Finally, GCF of Fractions for 5796/225, 6027/5776 is 21/1299600.