GCF of 6393/784, 3912/5573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6393/784, 3912/5573 i.e 3/4369232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6393/784, 3912/5573.
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 6393/784,3912/5573?
Given fractions are 6393/784,3912/5573
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 6393/784,3912/5573, numerators are 6393,3912
Denominators are 784,5573
The GCF of 6393,3912 is 3 .
LCM of 784,5573 is 4369232.
The greatest common factor of 6393/784,3912/5573 = [GCF of 6393,3912]/[LCM of 784,5573]= 3/4369232
Therefore, the GCF of 6393/784,3912/5573 is 3/4369232.
To find the highest common factor of 6393,3912, we have to find the factors of both numbers and list the highest common factor.
The factors of 6393 are 1, 3, 2131, 6393
The factors of 3912 are 1, 2, 3, 4, 6, 8, 12, 24, 163, 326, 489, 652, 978, 1304, 1956, 3912
The HCF of 6393,3912 is 3.
Lets's calculate GCF of 6393,3912
| 3 | 6393, 3912 |
| 2131, 1304 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6393,3912 By Matching Biggest Common Factor Method
Now, list down the factors of 6393
:1,3,2131,6393
Now, list down the factors of 3912
:1,2,3,4,6,8,12,24,163,326,489,652,978,1304,1956,3912
Greatest Common Factor
We found the factors 6393,3912 . The biggest common factor number is the GCF number.
So the greatest common factor 6393,3912 is 3.
Lets's calculate LCM of 784,5573
Given numbers has no common factors except 1. So, there LCM is their product i.e 4369232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4369232
Therefore, the GCF of Fractions 6393/784,3912/5573 is 3/4369232
Least Common Multiple of 784,5573 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 784,5573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,5573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,5573) x common factors =1 x 1 = 1
LCM(784,5573) = ( 784 × 5573 ) / 1
LCM(784,5573) = 4369232 / 1
LCM(784,5573) = 4369232
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FAQs on GCF of Fractions of 6393/784, 3912/5573
1. What is the HCF of 6393,3912?
The HCF of 6393,3912 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 6393/784, 3912/5573?
Answer: GCF of Numerators as per given numbers 6393/784, 3912/5573 is
GCF of Numerators i.e. for 6393,3912 is 3
LCM of denominators i.e. for 784,5573 is 4369232.
Thus, GCF of Fractions is 3/4369232.Finally, GCF of Fractions for 6393/784, 3912/5573 is 3/4369232.