GCF of 6388/132, 9474/4121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6388/132, 9474/4121 i.e 2/543972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6388/132, 9474/4121.
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 6388/132,9474/4121?
Given fractions are 6388/132,9474/4121
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 6388/132,9474/4121, numerators are 6388,9474
Denominators are 132,4121
The GCF of 6388,9474 is 2 .
LCM of 132,4121 is 543972.
The greatest common factor of 6388/132,9474/4121 = [GCF of 6388,9474]/[LCM of 132,4121]= 2/543972
Therefore, the GCF of 6388/132,9474/4121 is 2/543972.
To find the highest common factor of 6388,9474, we have to find the factors of both numbers and list the highest common factor.
The factors of 6388 are 1, 2, 4, 1597, 3194, 6388
The factors of 9474 are 1, 2, 3, 6, 1579, 3158, 4737, 9474
The HCF of 6388,9474 is 2.
Lets's calculate GCF of 6388,9474
| 2 | 6388, 9474 |
| 3194, 4737 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6388,9474 By Matching Biggest Common Factor Method
Now, list down the factors of 6388
:1,2,4,1597,3194,6388
Now, list down the factors of 9474
:1,2,3,6,1579,3158,4737,9474
Greatest Common Factor
We found the factors 6388,9474 . The biggest common factor number is the GCF number.
So the greatest common factor 6388,9474 is 2.
Lets's calculate LCM of 132,4121
Given numbers has no common factors except 1. So, there LCM is their product i.e 543972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/543972
Therefore, the GCF of Fractions 6388/132,9474/4121 is 2/543972
Least Common Multiple of 132,4121 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 132,4121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,4121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(132,4121) x common factors =1 x 1 = 1
LCM(132,4121) = ( 132 × 4121 ) / 1
LCM(132,4121) = 543972 / 1
LCM(132,4121) = 543972
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6388/132, 9474/4121
1. What is the HCF of 6388,9474?
The HCF of 6388,9474 is 2
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 6388/132, 9474/4121?
Answer: GCF of Numerators as per given numbers 6388/132, 9474/4121 is
GCF of Numerators i.e. for 6388,9474 is 2
LCM of denominators i.e. for 132,4121 is 543972.
Thus, GCF of Fractions is 2/543972.Finally, GCF of Fractions for 6388/132, 9474/4121 is 2/543972.