GCF of 2766/251, 3901/9834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2766/251, 3901/9834 i.e 1/2468334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2766/251, 3901/9834.
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 2766/251,3901/9834?
Given fractions are 2766/251,3901/9834
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 2766/251,3901/9834, numerators are 2766,3901
Denominators are 251,9834
The GCF of 2766,3901 is 1 .
LCM of 251,9834 is 2468334.
The greatest common factor of 2766/251,3901/9834 = [GCF of 2766,3901]/[LCM of 251,9834]= 1/2468334
Therefore, the GCF of 2766/251,3901/9834 is 1/2468334.
To find the highest common factor of 2766,3901, we have to find the factors of both numbers and list the highest common factor.
The factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766
The factors of 3901 are 1, 47, 83, 3901
The HCF of 2766,3901 is 1.
Lets's calculate GCF of 2766,3901
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2766,3901 By Matching Biggest Common Factor Method
Now, list down the factors of 2766
:1,2,3,6,461,922,1383,2766
Now, list down the factors of 3901
:1,47,83,3901
Greatest Common Factor
We found the factors 2766,3901 . The biggest common factor number is the GCF number.
So the greatest common factor 2766,3901 is 1.
Lets's calculate LCM of 251,9834
Given numbers has no common factors except 1. So, there LCM is their product i.e 2468334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2468334
Therefore, the GCF of Fractions 2766/251,3901/9834 is 1/2468334
Least Common Multiple of 251,9834 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 251,9834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(251,9834) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(251,9834) x common factors =1 x 1 = 1
LCM(251,9834) = ( 251 × 9834 ) / 1
LCM(251,9834) = 2468334 / 1
LCM(251,9834) = 2468334
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2766/251, 3901/9834
1. What is the HCF of 2766,3901?
The HCF of 2766,3901 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 2766/251, 3901/9834?
Answer: GCF of Numerators as per given numbers 2766/251, 3901/9834 is
GCF of Numerators i.e. for 2766,3901 is 1
LCM of denominators i.e. for 251,9834 is 2468334.
Thus, GCF of Fractions is 1/2468334.Finally, GCF of Fractions for 2766/251, 3901/9834 is 1/2468334.