GCF of 6243/735, 1146/7584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6243/735, 1146/7584 i.e 3/1858080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6243/735, 1146/7584.
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 6243/735,1146/7584?
Given fractions are 6243/735,1146/7584
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 6243/735,1146/7584, numerators are 6243,1146
Denominators are 735,7584
The GCF of 6243,1146 is 3 .
LCM of 735,7584 is 1858080.
The greatest common factor of 6243/735,1146/7584 = [GCF of 6243,1146]/[LCM of 735,7584]= 3/1858080
Therefore, the GCF of 6243/735,1146/7584 is 3/1858080.
To find the highest common factor of 6243,1146, we have to find the factors of both numbers and list the highest common factor.
The factors of 6243 are 1, 3, 2081, 6243
The factors of 1146 are 1, 2, 3, 6, 191, 382, 573, 1146
The HCF of 6243,1146 is 3.
Lets's calculate GCF of 6243,1146
| 3 | 6243, 1146 |
| 2081, 382 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6243,1146 By Matching Biggest Common Factor Method
Now, list down the factors of 6243
:1,3,2081,6243
Now, list down the factors of 1146
:1,2,3,6,191,382,573,1146
Greatest Common Factor
We found the factors 6243,1146 . The biggest common factor number is the GCF number.
So the greatest common factor 6243,1146 is 3.
Lets's calculate LCM of 735,7584
| 3 | 735, 7584 |
| 245, 2528 |
∴ So the LCM of the given numbers is 3 x 245 x 2528 = 1858080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1858080
Therefore, the GCF of Fractions 6243/735,1146/7584 is 3/1858080
Least Common Multiple of 735,7584 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 735,7584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,7584) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(735,7584) x common factors =3 x 1 = 3
LCM(735,7584) = ( 735 × 7584 ) / 3
LCM(735,7584) = 5574240 / 3
LCM(735,7584) = 1858080
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FAQs on GCF of Fractions of 6243/735, 1146/7584
1. What is the HCF of 6243,1146?
The HCF of 6243,1146 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 6243/735, 1146/7584?
Answer: GCF of Numerators as per given numbers 6243/735, 1146/7584 is
GCF of Numerators i.e. for 6243,1146 is 3
LCM of denominators i.e. for 735,7584 is 1858080.
Thus, GCF of Fractions is 3/1858080.Finally, GCF of Fractions for 6243/735, 1146/7584 is 3/1858080.