GCF of 4347/784, 6597/1925
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4347/784, 6597/1925 i.e 9/215600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4347/784, 6597/1925.
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 4347/784,6597/1925?
Given fractions are 4347/784,6597/1925
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 4347/784,6597/1925, numerators are 4347,6597
Denominators are 784,1925
The GCF of 4347,6597 is 9 .
LCM of 784,1925 is 215600.
The greatest common factor of 4347/784,6597/1925 = [GCF of 4347,6597]/[LCM of 784,1925]= 9/215600
Therefore, the GCF of 4347/784,6597/1925 is 9/215600.
To find the highest common factor of 4347,6597, we have to find the factors of both numbers and list the highest common factor.
The factors of 4347 are 1, 3, 7, 9, 21, 23, 27, 63, 69, 161, 189, 207, 483, 621, 1449, 4347
The factors of 6597 are 1, 3, 9, 733, 2199, 6597
The HCF of 4347,6597 is 9.
Lets's calculate GCF of 4347,6597
| 3 | 4347, 6597 |
| 3 | 1449, 2199 |
| 483, 733 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 4347,6597 By Matching Biggest Common Factor Method
Now, list down the factors of 4347
:1,3,7,9,21,23,27,63,69,161,189,207,483,621,1449,4347
Now, list down the factors of 6597
:1,3,9,733,2199,6597
Greatest Common Factor
We found the factors 4347,6597 . The biggest common factor number is the GCF number.
So the greatest common factor 4347,6597 is 9.
Lets's calculate LCM of 784,1925
| 7 | 784, 1925 |
| 112, 275 |
∴ So the LCM of the given numbers is 7 x 112 x 275 = 215600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/215600
Therefore, the GCF of Fractions 4347/784,6597/1925 is 9/215600
Least Common Multiple of 784,1925 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 784,1925 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,1925) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(784,1925) x common factors =7 x 1 = 7
LCM(784,1925) = ( 784 × 1925 ) / 7
LCM(784,1925) = 1509200 / 7
LCM(784,1925) = 215600
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FAQs on GCF of Fractions of 4347/784, 6597/1925
1. What is the HCF of 4347,6597?
The HCF of 4347,6597 is 9
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 4347/784, 6597/1925?
Answer: GCF of Numerators as per given numbers 4347/784, 6597/1925 is
GCF of Numerators i.e. for 4347,6597 is 9
LCM of denominators i.e. for 784,1925 is 215600.
Thus, GCF of Fractions is 9/215600.Finally, GCF of Fractions for 4347/784, 6597/1925 is 9/215600.