GCF of 9399/256, 3743/9972
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9399/256, 3743/9972 i.e 1/638208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9399/256, 3743/9972.
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 9399/256,3743/9972?
Given fractions are 9399/256,3743/9972
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 9399/256,3743/9972, numerators are 9399,3743
Denominators are 256,9972
The GCF of 9399,3743 is 1 .
LCM of 256,9972 is 638208.
The greatest common factor of 9399/256,3743/9972 = [GCF of 9399,3743]/[LCM of 256,9972]= 1/638208
Therefore, the GCF of 9399/256,3743/9972 is 1/638208.
To find the highest common factor of 9399,3743, we have to find the factors of both numbers and list the highest common factor.
The factors of 9399 are 1, 3, 13, 39, 241, 723, 3133, 9399
The factors of 3743 are 1, 19, 197, 3743
The HCF of 9399,3743 is 1.
Lets's calculate GCF of 9399,3743
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9399,3743 By Matching Biggest Common Factor Method
Now, list down the factors of 9399
:1,3,13,39,241,723,3133,9399
Now, list down the factors of 3743
:1,19,197,3743
Greatest Common Factor
We found the factors 9399,3743 . The biggest common factor number is the GCF number.
So the greatest common factor 9399,3743 is 1.
Lets's calculate LCM of 256,9972
| 2 | 256, 9972 |
| 2 | 128, 4986 |
| 64, 2493 |
∴ So the LCM of the given numbers is 2 x 2 x 64 x 2493 = 638208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/638208
Therefore, the GCF of Fractions 9399/256,3743/9972 is 1/638208
Least Common Multiple of 256,9972 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 256,9972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,9972) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(256,9972) x common factors =4 x 1 = 4
LCM(256,9972) = ( 256 × 9972 ) / 4
LCM(256,9972) = 2552832 / 4
LCM(256,9972) = 638208
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9399/256, 3743/9972
1. What is the HCF of 9399,3743?
The HCF of 9399,3743 is 1
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 9399/256, 3743/9972?
Answer: GCF of Numerators as per given numbers 9399/256, 3743/9972 is
GCF of Numerators i.e. for 9399,3743 is 1
LCM of denominators i.e. for 256,9972 is 638208.
Thus, GCF of Fractions is 1/638208.Finally, GCF of Fractions for 9399/256, 3743/9972 is 1/638208.