GCF of 5666/826, 7566/7434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5666/826, 7566/7434 i.e 2/7434 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5666/826, 7566/7434.
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 5666/826,7566/7434?
Given fractions are 5666/826,7566/7434
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 5666/826,7566/7434, numerators are 5666,7566
Denominators are 826,7434
The GCF of 5666,7566 is 2 .
LCM of 826,7434 is 7434.
The greatest common factor of 5666/826,7566/7434 = [GCF of 5666,7566]/[LCM of 826,7434]= 2/7434
Therefore, the GCF of 5666/826,7566/7434 is 2/7434.
To find the highest common factor of 5666,7566, we have to find the factors of both numbers and list the highest common factor.
The factors of 5666 are 1, 2, 2833, 5666
The factors of 7566 are 1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566
The HCF of 5666,7566 is 2.
Lets's calculate GCF of 5666,7566
| 2 | 5666, 7566 |
| 2833, 3783 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5666,7566 By Matching Biggest Common Factor Method
Now, list down the factors of 5666
:1,2,2833,5666
Now, list down the factors of 7566
:1,2,3,6,13,26,39,78,97,194,291,582,1261,2522,3783,7566
Greatest Common Factor
We found the factors 5666,7566 . The biggest common factor number is the GCF number.
So the greatest common factor 5666,7566 is 2.
Lets's calculate LCM of 826,7434
| 2 | 826, 7434 |
| 7 | 413, 3717 |
| 59 | 59, 531 |
| 1, 9 |
∴ So the LCM of the given numbers is 2 x 7 x 59 x 1 x 9 = 7434
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7434
Therefore, the GCF of Fractions 5666/826,7566/7434 is 2/7434
Least Common Multiple of 826,7434 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 826,7434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,7434) = 826
common factors(in case of two or more numbers have common factors) = 1
GCF(826,7434) x common factors =826 x 1 = 826
LCM(826,7434) = ( 826 × 7434 ) / 826
LCM(826,7434) = 6140484 / 826
LCM(826,7434) = 7434
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5666/826, 7566/7434
1. What is the HCF of 5666,7566?
The HCF of 5666,7566 is 2
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 5666/826, 7566/7434?
Answer: GCF of Numerators as per given numbers 5666/826, 7566/7434 is
GCF of Numerators i.e. for 5666,7566 is 2
LCM of denominators i.e. for 826,7434 is 7434.
Thus, GCF of Fractions is 2/7434.Finally, GCF of Fractions for 5666/826, 7566/7434 is 2/7434.