GCF of 6027/816, 7308/298
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6027/816, 7308/298 i.e 21/121584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6027/816, 7308/298.
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 6027/816,7308/298?
Given fractions are 6027/816,7308/298
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 6027/816,7308/298, numerators are 6027,7308
Denominators are 816,298
The GCF of 6027,7308 is 21 .
LCM of 816,298 is 121584.
The greatest common factor of 6027/816,7308/298 = [GCF of 6027,7308]/[LCM of 816,298]= 21/121584
Therefore, the GCF of 6027/816,7308/298 is 21/121584.
To find the highest common factor of 6027,7308, we have to find the factors of both numbers and list the highest common factor.
The factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
The factors of 7308 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654, 7308
The HCF of 6027,7308 is 21.
Lets's calculate GCF of 6027,7308
| 3 | 6027, 7308 |
| 7 | 2009, 2436 |
| 287, 348 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 6027,7308 By Matching Biggest Common Factor Method
Now, list down the factors of 6027
:1,3,7,21,41,49,123,147,287,861,2009,6027
Now, list down the factors of 7308
:1,2,3,4,6,7,9,12,14,18,21,28,29,36,42,58,63,84,87,116,126,174,203,252,261,348,406,522,609,812,1044,1218,1827,2436,3654,7308
Greatest Common Factor
We found the factors 6027,7308 . The biggest common factor number is the GCF number.
So the greatest common factor 6027,7308 is 21.
Lets's calculate LCM of 816,298
| 2 | 816, 298 |
| 408, 149 |
∴ So the LCM of the given numbers is 2 x 408 x 149 = 121584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/121584
Therefore, the GCF of Fractions 6027/816,7308/298 is 21/121584
Least Common Multiple of 816,298 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 816,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,298) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(816,298) x common factors =2 x 1 = 2
LCM(816,298) = ( 816 × 298 ) / 2
LCM(816,298) = 243168 / 2
LCM(816,298) = 121584
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FAQs on GCF of Fractions of 6027/816, 7308/298
1. What is the HCF of 6027,7308?
The HCF of 6027,7308 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 6027/816, 7308/298?
Answer: GCF of Numerators as per given numbers 6027/816, 7308/298 is
GCF of Numerators i.e. for 6027,7308 is 21
LCM of denominators i.e. for 816,298 is 121584.
Thus, GCF of Fractions is 21/121584.Finally, GCF of Fractions for 6027/816, 7308/298 is 21/121584.