GCF of 3311/626, 1573/766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3311/626, 1573/766 i.e 11/239758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3311/626, 1573/766.
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 3311/626,1573/766?
Given fractions are 3311/626,1573/766
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 3311/626,1573/766, numerators are 3311,1573
Denominators are 626,766
The GCF of 3311,1573 is 11 .
LCM of 626,766 is 239758.
The greatest common factor of 3311/626,1573/766 = [GCF of 3311,1573]/[LCM of 626,766]= 11/239758
Therefore, the GCF of 3311/626,1573/766 is 11/239758.
To find the highest common factor of 3311,1573, we have to find the factors of both numbers and list the highest common factor.
The factors of 3311 are 1, 7, 11, 43, 77, 301, 473, 3311
The factors of 1573 are 1, 11, 13, 121, 143, 1573
The HCF of 3311,1573 is 11.
Lets's calculate GCF of 3311,1573
| 11 | 3311, 1573 |
| 301, 143 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 3311,1573 By Matching Biggest Common Factor Method
Now, list down the factors of 3311
:1,7,11,43,77,301,473,3311
Now, list down the factors of 1573
:1,11,13,121,143,1573
Greatest Common Factor
We found the factors 3311,1573 . The biggest common factor number is the GCF number.
So the greatest common factor 3311,1573 is 11.
Lets's calculate LCM of 626,766
| 2 | 626, 766 |
| 313, 383 |
∴ So the LCM of the given numbers is 2 x 313 x 383 = 239758
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/239758
Therefore, the GCF of Fractions 3311/626,1573/766 is 11/239758
Least Common Multiple of 626,766 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 626,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,766) x common factors =2 x 1 = 2
LCM(626,766) = ( 626 × 766 ) / 2
LCM(626,766) = 479516 / 2
LCM(626,766) = 239758
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3311/626, 1573/766
1. What is the HCF of 3311,1573?
The HCF of 3311,1573 is 11
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 3311/626, 1573/766?
Answer: GCF of Numerators as per given numbers 3311/626, 1573/766 is
GCF of Numerators i.e. for 3311,1573 is 11
LCM of denominators i.e. for 626,766 is 239758.
Thus, GCF of Fractions is 11/239758.Finally, GCF of Fractions for 3311/626, 1573/766 is 11/239758.