GCF of 7541/522, 6824/4622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7541/522, 6824/4622 i.e 1/1206342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7541/522, 6824/4622.
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 7541/522,6824/4622?
Given fractions are 7541/522,6824/4622
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 7541/522,6824/4622, numerators are 7541,6824
Denominators are 522,4622
The GCF of 7541,6824 is 1 .
LCM of 522,4622 is 1206342.
The greatest common factor of 7541/522,6824/4622 = [GCF of 7541,6824]/[LCM of 522,4622]= 1/1206342
Therefore, the GCF of 7541/522,6824/4622 is 1/1206342.
To find the highest common factor of 7541,6824, we have to find the factors of both numbers and list the highest common factor.
The factors of 7541 are 1, 7541
The factors of 6824 are 1, 2, 4, 8, 853, 1706, 3412, 6824
The HCF of 7541,6824 is 1.
Lets's calculate GCF of 7541,6824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7541,6824 By Matching Biggest Common Factor Method
Now, list down the factors of 7541
:1,7541
Now, list down the factors of 6824
:1,2,4,8,853,1706,3412,6824
Greatest Common Factor
We found the factors 7541,6824 . The biggest common factor number is the GCF number.
So the greatest common factor 7541,6824 is 1.
Lets's calculate LCM of 522,4622
| 2 | 522, 4622 |
| 261, 2311 |
∴ So the LCM of the given numbers is 2 x 261 x 2311 = 1206342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1206342
Therefore, the GCF of Fractions 7541/522,6824/4622 is 1/1206342
Least Common Multiple of 522,4622 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 522,4622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,4622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,4622) x common factors =2 x 1 = 2
LCM(522,4622) = ( 522 × 4622 ) / 2
LCM(522,4622) = 2412684 / 2
LCM(522,4622) = 1206342
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FAQs on GCF of Fractions of 7541/522, 6824/4622
1. What is the HCF of 7541,6824?
The HCF of 7541,6824 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 7541/522, 6824/4622?
Answer: GCF of Numerators as per given numbers 7541/522, 6824/4622 is
GCF of Numerators i.e. for 7541,6824 is 1
LCM of denominators i.e. for 522,4622 is 1206342.
Thus, GCF of Fractions is 1/1206342.Finally, GCF of Fractions for 7541/522, 6824/4622 is 1/1206342.