GCF of 5766/817, 2045/7714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5766/817, 2045/7714 i.e 1/331702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5766/817, 2045/7714.
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 5766/817,2045/7714?
Given fractions are 5766/817,2045/7714
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 5766/817,2045/7714, numerators are 5766,2045
Denominators are 817,7714
The GCF of 5766,2045 is 1 .
LCM of 817,7714 is 331702.
The greatest common factor of 5766/817,2045/7714 = [GCF of 5766,2045]/[LCM of 817,7714]= 1/331702
Therefore, the GCF of 5766/817,2045/7714 is 1/331702.
To find the highest common factor of 5766,2045, we have to find the factors of both numbers and list the highest common factor.
The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766
The factors of 2045 are 1, 5, 409, 2045
The HCF of 5766,2045 is 1.
Lets's calculate GCF of 5766,2045
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5766,2045 By Matching Biggest Common Factor Method
Now, list down the factors of 5766
:1,2,3,6,31,62,93,186,961,1922,2883,5766
Now, list down the factors of 2045
:1,5,409,2045
Greatest Common Factor
We found the factors 5766,2045 . The biggest common factor number is the GCF number.
So the greatest common factor 5766,2045 is 1.
Lets's calculate LCM of 817,7714
| 19 | 817, 7714 |
| 43, 406 |
∴ So the LCM of the given numbers is 19 x 43 x 406 = 331702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331702
Therefore, the GCF of Fractions 5766/817,2045/7714 is 1/331702
Least Common Multiple of 817,7714 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 817,7714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,7714) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(817,7714) x common factors =19 x 1 = 19
LCM(817,7714) = ( 817 × 7714 ) / 19
LCM(817,7714) = 6302338 / 19
LCM(817,7714) = 331702
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5766/817, 2045/7714
1. What is the HCF of 5766,2045?
The HCF of 5766,2045 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 5766/817, 2045/7714?
Answer: GCF of Numerators as per given numbers 5766/817, 2045/7714 is
GCF of Numerators i.e. for 5766,2045 is 1
LCM of denominators i.e. for 817,7714 is 331702.
Thus, GCF of Fractions is 1/331702.Finally, GCF of Fractions for 5766/817, 2045/7714 is 1/331702.