GCF of 9447/299, 7758/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9447/299, 7758/614 i.e 3/183586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9447/299, 7758/614.
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 9447/299,7758/614?
Given fractions are 9447/299,7758/614
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 9447/299,7758/614, numerators are 9447,7758
Denominators are 299,614
The GCF of 9447,7758 is 3 .
LCM of 299,614 is 183586.
The greatest common factor of 9447/299,7758/614 = [GCF of 9447,7758]/[LCM of 299,614]= 3/183586
Therefore, the GCF of 9447/299,7758/614 is 3/183586.
To find the highest common factor of 9447,7758, we have to find the factors of both numbers and list the highest common factor.
The factors of 9447 are 1, 3, 47, 67, 141, 201, 3149, 9447
The factors of 7758 are 1, 2, 3, 6, 9, 18, 431, 862, 1293, 2586, 3879, 7758
The HCF of 9447,7758 is 3.
Lets's calculate GCF of 9447,7758
| 3 | 9447, 7758 |
| 3149, 2586 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9447,7758 By Matching Biggest Common Factor Method
Now, list down the factors of 9447
:1,3,47,67,141,201,3149,9447
Now, list down the factors of 7758
:1,2,3,6,9,18,431,862,1293,2586,3879,7758
Greatest Common Factor
We found the factors 9447,7758 . The biggest common factor number is the GCF number.
So the greatest common factor 9447,7758 is 3.
Lets's calculate LCM of 299,614
Given numbers has no common factors except 1. So, there LCM is their product i.e 183586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/183586
Therefore, the GCF of Fractions 9447/299,7758/614 is 3/183586
Least Common Multiple of 299,614 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 299,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,614) x common factors =1 x 1 = 1
LCM(299,614) = ( 299 × 614 ) / 1
LCM(299,614) = 183586 / 1
LCM(299,614) = 183586
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FAQs on GCF of Fractions of 9447/299, 7758/614
1. What is the HCF of 9447,7758?
The HCF of 9447,7758 is 3
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 9447/299, 7758/614?
Answer: GCF of Numerators as per given numbers 9447/299, 7758/614 is
GCF of Numerators i.e. for 9447,7758 is 3
LCM of denominators i.e. for 299,614 is 183586.
Thus, GCF of Fractions is 3/183586.Finally, GCF of Fractions for 9447/299, 7758/614 is 3/183586.