GCF of 9451/818, 6604/5718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9451/818, 6604/5718 i.e 13/2338662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9451/818, 6604/5718.
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 9451/818,6604/5718?
Given fractions are 9451/818,6604/5718
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 9451/818,6604/5718, numerators are 9451,6604
Denominators are 818,5718
The GCF of 9451,6604 is 13 .
LCM of 818,5718 is 2338662.
The greatest common factor of 9451/818,6604/5718 = [GCF of 9451,6604]/[LCM of 818,5718]= 13/2338662
Therefore, the GCF of 9451/818,6604/5718 is 13/2338662.
To find the highest common factor of 9451,6604, we have to find the factors of both numbers and list the highest common factor.
The factors of 9451 are 1, 13, 727, 9451
The factors of 6604 are 1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604
The HCF of 9451,6604 is 13.
Lets's calculate GCF of 9451,6604
| 13 | 9451, 6604 |
| 727, 508 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9451,6604 By Matching Biggest Common Factor Method
Now, list down the factors of 9451
:1,13,727,9451
Now, list down the factors of 6604
:1,2,4,13,26,52,127,254,508,1651,3302,6604
Greatest Common Factor
We found the factors 9451,6604 . The biggest common factor number is the GCF number.
So the greatest common factor 9451,6604 is 13.
Lets's calculate LCM of 818,5718
| 2 | 818, 5718 |
| 409, 2859 |
∴ So the LCM of the given numbers is 2 x 409 x 2859 = 2338662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2338662
Therefore, the GCF of Fractions 9451/818,6604/5718 is 13/2338662
Least Common Multiple of 818,5718 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 818,5718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,5718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,5718) x common factors =2 x 1 = 2
LCM(818,5718) = ( 818 × 5718 ) / 2
LCM(818,5718) = 4677324 / 2
LCM(818,5718) = 2338662
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FAQs on GCF of Fractions of 9451/818, 6604/5718
1. What is the HCF of 9451,6604?
The HCF of 9451,6604 is 13
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 9451/818, 6604/5718?
Answer: GCF of Numerators as per given numbers 9451/818, 6604/5718 is
GCF of Numerators i.e. for 9451,6604 is 13
LCM of denominators i.e. for 818,5718 is 2338662.
Thus, GCF of Fractions is 13/2338662.Finally, GCF of Fractions for 9451/818, 6604/5718 is 13/2338662.