GCF of 5517/516, 9776/954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5517/516, 9776/954 i.e 1/82044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5517/516, 9776/954.
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 5517/516,9776/954?
Given fractions are 5517/516,9776/954
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 5517/516,9776/954, numerators are 5517,9776
Denominators are 516,954
The GCF of 5517,9776 is 1 .
LCM of 516,954 is 82044.
The greatest common factor of 5517/516,9776/954 = [GCF of 5517,9776]/[LCM of 516,954]= 1/82044
Therefore, the GCF of 5517/516,9776/954 is 1/82044.
To find the highest common factor of 5517,9776, we have to find the factors of both numbers and list the highest common factor.
The factors of 5517 are 1, 3, 9, 613, 1839, 5517
The factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776
The HCF of 5517,9776 is 1.
Lets's calculate GCF of 5517,9776
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5517,9776 By Matching Biggest Common Factor Method
Now, list down the factors of 5517
:1,3,9,613,1839,5517
Now, list down the factors of 9776
:1,2,4,8,13,16,26,47,52,94,104,188,208,376,611,752,1222,2444,4888,9776
Greatest Common Factor
We found the factors 5517,9776 . The biggest common factor number is the GCF number.
So the greatest common factor 5517,9776 is 1.
Lets's calculate LCM of 516,954
| 2 | 516, 954 |
| 3 | 258, 477 |
| 86, 159 |
∴ So the LCM of the given numbers is 2 x 3 x 86 x 159 = 82044
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82044
Therefore, the GCF of Fractions 5517/516,9776/954 is 1/82044
Least Common Multiple of 516,954 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 516,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,954) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(516,954) x common factors =6 x 1 = 6
LCM(516,954) = ( 516 × 954 ) / 6
LCM(516,954) = 492264 / 6
LCM(516,954) = 82044
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FAQs on GCF of Fractions of 5517/516, 9776/954
1. What is the HCF of 5517,9776?
The HCF of 5517,9776 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 5517/516, 9776/954?
Answer: GCF of Numerators as per given numbers 5517/516, 9776/954 is
GCF of Numerators i.e. for 5517,9776 is 1
LCM of denominators i.e. for 516,954 is 82044.
Thus, GCF of Fractions is 1/82044.Finally, GCF of Fractions for 5517/516, 9776/954 is 1/82044.