GCF of 5451/817, 9775/5459
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5451/817, 9775/5459 i.e 23/4460003 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5451/817, 9775/5459.
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 5451/817,9775/5459?
Given fractions are 5451/817,9775/5459
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 5451/817,9775/5459, numerators are 5451,9775
Denominators are 817,5459
The GCF of 5451,9775 is 23 .
LCM of 817,5459 is 4460003.
The greatest common factor of 5451/817,9775/5459 = [GCF of 5451,9775]/[LCM of 817,5459]= 23/4460003
Therefore, the GCF of 5451/817,9775/5459 is 23/4460003.
To find the highest common factor of 5451,9775, we have to find the factors of both numbers and list the highest common factor.
The factors of 5451 are 1, 3, 23, 69, 79, 237, 1817, 5451
The factors of 9775 are 1, 5, 17, 23, 25, 85, 115, 391, 425, 575, 1955, 9775
The HCF of 5451,9775 is 23.
Lets's calculate GCF of 5451,9775
| 23 | 5451, 9775 |
| 237, 425 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 5451,9775 By Matching Biggest Common Factor Method
Now, list down the factors of 5451
:1,3,23,69,79,237,1817,5451
Now, list down the factors of 9775
:1,5,17,23,25,85,115,391,425,575,1955,9775
Greatest Common Factor
We found the factors 5451,9775 . The biggest common factor number is the GCF number.
So the greatest common factor 5451,9775 is 23.
Lets's calculate LCM of 817,5459
Given numbers has no common factors except 1. So, there LCM is their product i.e 4460003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/4460003
Therefore, the GCF of Fractions 5451/817,9775/5459 is 23/4460003
Least Common Multiple of 817,5459 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 817,5459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,5459) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,5459) x common factors =1 x 1 = 1
LCM(817,5459) = ( 817 × 5459 ) / 1
LCM(817,5459) = 4460003 / 1
LCM(817,5459) = 4460003
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FAQs on GCF of Fractions of 5451/817, 9775/5459
1. What is the HCF of 5451,9775?
The HCF of 5451,9775 is 23
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 5451/817, 9775/5459?
Answer: GCF of Numerators as per given numbers 5451/817, 9775/5459 is
GCF of Numerators i.e. for 5451,9775 is 23
LCM of denominators i.e. for 817,5459 is 4460003.
Thus, GCF of Fractions is 23/4460003.Finally, GCF of Fractions for 5451/817, 9775/5459 is 23/4460003.