GCF of 6991/923, 3135/3126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6991/923, 3135/3126 i.e 1/2885298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6991/923, 3135/3126.
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 6991/923,3135/3126?
Given fractions are 6991/923,3135/3126
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 6991/923,3135/3126, numerators are 6991,3135
Denominators are 923,3126
The GCF of 6991,3135 is 1 .
LCM of 923,3126 is 2885298.
The greatest common factor of 6991/923,3135/3126 = [GCF of 6991,3135]/[LCM of 923,3126]= 1/2885298
Therefore, the GCF of 6991/923,3135/3126 is 1/2885298.
To find the highest common factor of 6991,3135, we have to find the factors of both numbers and list the highest common factor.
The factors of 6991 are 1, 6991
The factors of 3135 are 1, 3, 5, 11, 15, 19, 33, 55, 57, 95, 165, 209, 285, 627, 1045, 3135
The HCF of 6991,3135 is 1.
Lets's calculate GCF of 6991,3135
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6991,3135 By Matching Biggest Common Factor Method
Now, list down the factors of 6991
:1,6991
Now, list down the factors of 3135
:1,3,5,11,15,19,33,55,57,95,165,209,285,627,1045,3135
Greatest Common Factor
We found the factors 6991,3135 . The biggest common factor number is the GCF number.
So the greatest common factor 6991,3135 is 1.
Lets's calculate LCM of 923,3126
Given numbers has no common factors except 1. So, there LCM is their product i.e 2885298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2885298
Therefore, the GCF of Fractions 6991/923,3135/3126 is 1/2885298
Least Common Multiple of 923,3126 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 923,3126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,3126) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,3126) x common factors =1 x 1 = 1
LCM(923,3126) = ( 923 × 3126 ) / 1
LCM(923,3126) = 2885298 / 1
LCM(923,3126) = 2885298
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6991/923, 3135/3126
1. What is the HCF of 6991,3135?
The HCF of 6991,3135 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 6991/923, 3135/3126?
Answer: GCF of Numerators as per given numbers 6991/923, 3135/3126 is
GCF of Numerators i.e. for 6991,3135 is 1
LCM of denominators i.e. for 923,3126 is 2885298.
Thus, GCF of Fractions is 1/2885298.Finally, GCF of Fractions for 6991/923, 3135/3126 is 1/2885298.