GCF of 6273/754, 1788/474
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6273/754, 1788/474 i.e 3/178698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6273/754, 1788/474.
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 6273/754,1788/474?
Given fractions are 6273/754,1788/474
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 6273/754,1788/474, numerators are 6273,1788
Denominators are 754,474
The GCF of 6273,1788 is 3 .
LCM of 754,474 is 178698.
The greatest common factor of 6273/754,1788/474 = [GCF of 6273,1788]/[LCM of 754,474]= 3/178698
Therefore, the GCF of 6273/754,1788/474 is 3/178698.
To find the highest common factor of 6273,1788, we have to find the factors of both numbers and list the highest common factor.
The factors of 6273 are 1, 3, 9, 17, 41, 51, 123, 153, 369, 697, 2091, 6273
The factors of 1788 are 1, 2, 3, 4, 6, 12, 149, 298, 447, 596, 894, 1788
The HCF of 6273,1788 is 3.
Lets's calculate GCF of 6273,1788
| 3 | 6273, 1788 |
| 2091, 596 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6273,1788 By Matching Biggest Common Factor Method
Now, list down the factors of 6273
:1,3,9,17,41,51,123,153,369,697,2091,6273
Now, list down the factors of 1788
:1,2,3,4,6,12,149,298,447,596,894,1788
Greatest Common Factor
We found the factors 6273,1788 . The biggest common factor number is the GCF number.
So the greatest common factor 6273,1788 is 3.
Lets's calculate LCM of 754,474
| 2 | 754, 474 |
| 377, 237 |
∴ So the LCM of the given numbers is 2 x 377 x 237 = 178698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/178698
Therefore, the GCF of Fractions 6273/754,1788/474 is 3/178698
Least Common Multiple of 754,474 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 754,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(754,474) x common factors =2 x 1 = 2
LCM(754,474) = ( 754 × 474 ) / 2
LCM(754,474) = 357396 / 2
LCM(754,474) = 178698
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FAQs on GCF of Fractions of 6273/754, 1788/474
1. What is the HCF of 6273,1788?
The HCF of 6273,1788 is 3
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 6273/754, 1788/474?
Answer: GCF of Numerators as per given numbers 6273/754, 1788/474 is
GCF of Numerators i.e. for 6273,1788 is 3
LCM of denominators i.e. for 754,474 is 178698.
Thus, GCF of Fractions is 3/178698.Finally, GCF of Fractions for 6273/754, 1788/474 is 3/178698.