GCF of 11/522, 909/715, 518/841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/522, 909/715, 518/841 i.e 1/10823670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/522, 909/715, 518/841.
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 11/522,909/715,518/841?
Given fractions are 11/522,909/715,518/841
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 11/522,909/715,518/841, numerators are 11,909,518
Denominators are 522,715,841
The GCF of 11,909,518 is 1 .
LCM of 522,715,841 is 10823670.
The greatest common factor of 11/522,909/715,518/841 = [GCF of 11,909,518]/[LCM of 522,715,841]= 1/10823670
Therefore, the GCF of 11/522,909/715,518/841 is 1/10823670.
To find the highest common factor of 11,909,518, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 909 are 1, 3, 9, 101, 303, 909
The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518
The HCF of 11,909,518 is 1.
Lets's calculate GCF of 11,909,518
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,909,518 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 909
:1,3,9,101,303,909
Now, list down the factors of 518
:1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors 11,909,518 . The biggest common factor number is the GCF number.
So the greatest common factor 11,909,518 is 1.
Lets's calculate LCM of 522,715,841
| 29 | 522, 715, 841 |
| 18, 715, 29 |
∴ So the LCM of the given numbers is 29 x 18 x 715 x 29 = 10823670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10823670
Therefore, the GCF of Fractions 11/522,909/715,518/841 is 1/10823670
Least Common Multiple of 522,715,841 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 522,715,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,715,841) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(522,715,841) x common factors =1 x 29 = 29
LCM(522,715,841) = ( 522 × 715 × 841 ) / 29
LCM(522,715,841) = 313886430 / 29
LCM(522,715,841) = 10823670
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FAQs on GCF of Fractions of 11/522, 909/715, 518/841
1. What is the HCF of 11,909,518?
The HCF of 11,909,518 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 11/522, 909/715, 518/841?
Answer: GCF of Numerators as per given numbers 11/522, 909/715, 518/841 is
GCF of Numerators i.e. for 11,909,518 is 1
LCM of denominators i.e. for 522,715,841 is 10823670.
Thus, GCF of Fractions is 1/10823670.Finally, GCF of Fractions for 11/522, 909/715, 518/841 is 1/10823670.