GCF of 7428/256, 6684/8782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7428/256, 6684/8782 i.e 12/1124096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7428/256, 6684/8782.
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 7428/256,6684/8782?
Given fractions are 7428/256,6684/8782
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 7428/256,6684/8782, numerators are 7428,6684
Denominators are 256,8782
The GCF of 7428,6684 is 12 .
LCM of 256,8782 is 1124096.
The greatest common factor of 7428/256,6684/8782 = [GCF of 7428,6684]/[LCM of 256,8782]= 12/1124096
Therefore, the GCF of 7428/256,6684/8782 is 12/1124096.
To find the highest common factor of 7428,6684, we have to find the factors of both numbers and list the highest common factor.
The factors of 7428 are 1, 2, 3, 4, 6, 12, 619, 1238, 1857, 2476, 3714, 7428
The factors of 6684 are 1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684
The HCF of 7428,6684 is 12.
Lets's calculate GCF of 7428,6684
| 2 | 7428, 6684 |
| 2 | 3714, 3342 |
| 3 | 1857, 1671 |
| 619, 557 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7428,6684 By Matching Biggest Common Factor Method
Now, list down the factors of 7428
:1,2,3,4,6,12,619,1238,1857,2476,3714,7428
Now, list down the factors of 6684
:1,2,3,4,6,12,557,1114,1671,2228,3342,6684
Greatest Common Factor
We found the factors 7428,6684 . The biggest common factor number is the GCF number.
So the greatest common factor 7428,6684 is 12.
Lets's calculate LCM of 256,8782
| 2 | 256, 8782 |
| 128, 4391 |
∴ So the LCM of the given numbers is 2 x 128 x 4391 = 1124096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1124096
Therefore, the GCF of Fractions 7428/256,6684/8782 is 12/1124096
Least Common Multiple of 256,8782 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 256,8782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,8782) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(256,8782) x common factors =2 x 1 = 2
LCM(256,8782) = ( 256 × 8782 ) / 2
LCM(256,8782) = 2248192 / 2
LCM(256,8782) = 1124096
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FAQs on GCF of Fractions of 7428/256, 6684/8782
1. What is the HCF of 7428,6684?
The HCF of 7428,6684 is 12
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 7428/256, 6684/8782?
Answer: GCF of Numerators as per given numbers 7428/256, 6684/8782 is
GCF of Numerators i.e. for 7428,6684 is 12
LCM of denominators i.e. for 256,8782 is 1124096.
Thus, GCF of Fractions is 12/1124096.Finally, GCF of Fractions for 7428/256, 6684/8782 is 12/1124096.