GCF of 3333/909, 7996/6379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3333/909, 7996/6379 i.e 1/5798511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3333/909, 7996/6379.
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 3333/909,7996/6379?
Given fractions are 3333/909,7996/6379
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 3333/909,7996/6379, numerators are 3333,7996
Denominators are 909,6379
The GCF of 3333,7996 is 1 .
LCM of 909,6379 is 5798511.
The greatest common factor of 3333/909,7996/6379 = [GCF of 3333,7996]/[LCM of 909,6379]= 1/5798511
Therefore, the GCF of 3333/909,7996/6379 is 1/5798511.
To find the highest common factor of 3333,7996, we have to find the factors of both numbers and list the highest common factor.
The factors of 3333 are 1, 3, 11, 33, 101, 303, 1111, 3333
The factors of 7996 are 1, 2, 4, 1999, 3998, 7996
The HCF of 3333,7996 is 1.
Lets's calculate GCF of 3333,7996
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3333,7996 By Matching Biggest Common Factor Method
Now, list down the factors of 3333
:1,3,11,33,101,303,1111,3333
Now, list down the factors of 7996
:1,2,4,1999,3998,7996
Greatest Common Factor
We found the factors 3333,7996 . The biggest common factor number is the GCF number.
So the greatest common factor 3333,7996 is 1.
Lets's calculate LCM of 909,6379
Given numbers has no common factors except 1. So, there LCM is their product i.e 5798511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5798511
Therefore, the GCF of Fractions 3333/909,7996/6379 is 1/5798511
Least Common Multiple of 909,6379 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 909,6379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,6379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,6379) x common factors =1 x 1 = 1
LCM(909,6379) = ( 909 × 6379 ) / 1
LCM(909,6379) = 5798511 / 1
LCM(909,6379) = 5798511
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3333/909, 7996/6379
1. What is the HCF of 3333,7996?
The HCF of 3333,7996 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 3333/909, 7996/6379?
Answer: GCF of Numerators as per given numbers 3333/909, 7996/6379 is
GCF of Numerators i.e. for 3333,7996 is 1
LCM of denominators i.e. for 909,6379 is 5798511.
Thus, GCF of Fractions is 1/5798511.Finally, GCF of Fractions for 3333/909, 7996/6379 is 1/5798511.