GCF of 9447/369, 7661/3012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9447/369, 7661/3012 i.e 47/370476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9447/369, 7661/3012.
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 9447/369,7661/3012?
Given fractions are 9447/369,7661/3012
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 9447/369,7661/3012, numerators are 9447,7661
Denominators are 369,3012
The GCF of 9447,7661 is 47 .
LCM of 369,3012 is 370476.
The greatest common factor of 9447/369,7661/3012 = [GCF of 9447,7661]/[LCM of 369,3012]= 47/370476
Therefore, the GCF of 9447/369,7661/3012 is 47/370476.
To find the highest common factor of 9447,7661, 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 7661 are 1, 47, 163, 7661
The HCF of 9447,7661 is 47.
Lets's calculate GCF of 9447,7661
| 47 | 9447, 7661 |
| 201, 163 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 9447,7661 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 7661
:1,47,163,7661
Greatest Common Factor
We found the factors 9447,7661 . The biggest common factor number is the GCF number.
So the greatest common factor 9447,7661 is 47.
Lets's calculate LCM of 369,3012
| 3 | 369, 3012 |
| 123, 1004 |
∴ So the LCM of the given numbers is 3 x 123 x 1004 = 370476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/370476
Therefore, the GCF of Fractions 9447/369,7661/3012 is 47/370476
Least Common Multiple of 369,3012 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 369,3012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,3012) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(369,3012) x common factors =3 x 1 = 3
LCM(369,3012) = ( 369 × 3012 ) / 3
LCM(369,3012) = 1111428 / 3
LCM(369,3012) = 370476
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FAQs on GCF of Fractions of 9447/369, 7661/3012
1. What is the HCF of 9447,7661?
The HCF of 9447,7661 is 47
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 9447/369, 7661/3012?
Answer: GCF of Numerators as per given numbers 9447/369, 7661/3012 is
GCF of Numerators i.e. for 9447,7661 is 47
LCM of denominators i.e. for 369,3012 is 370476.
Thus, GCF of Fractions is 47/370476.Finally, GCF of Fractions for 9447/369, 7661/3012 is 47/370476.