GCF of 1449/732, 7966/8170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1449/732, 7966/8170 i.e 7/2990220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1449/732, 7966/8170.
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 1449/732,7966/8170?
Given fractions are 1449/732,7966/8170
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 1449/732,7966/8170, numerators are 1449,7966
Denominators are 732,8170
The GCF of 1449,7966 is 7 .
LCM of 732,8170 is 2990220.
The greatest common factor of 1449/732,7966/8170 = [GCF of 1449,7966]/[LCM of 732,8170]= 7/2990220
Therefore, the GCF of 1449/732,7966/8170 is 7/2990220.
To find the highest common factor of 1449,7966, we have to find the factors of both numbers and list the highest common factor.
The factors of 1449 are 1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449
The factors of 7966 are 1, 2, 7, 14, 569, 1138, 3983, 7966
The HCF of 1449,7966 is 7.
Lets's calculate GCF of 1449,7966
| 7 | 1449, 7966 |
| 207, 1138 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1449,7966 By Matching Biggest Common Factor Method
Now, list down the factors of 1449
:1,3,7,9,21,23,63,69,161,207,483,1449
Now, list down the factors of 7966
:1,2,7,14,569,1138,3983,7966
Greatest Common Factor
We found the factors 1449,7966 . The biggest common factor number is the GCF number.
So the greatest common factor 1449,7966 is 7.
Lets's calculate LCM of 732,8170
| 2 | 732, 8170 |
| 366, 4085 |
∴ So the LCM of the given numbers is 2 x 366 x 4085 = 2990220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2990220
Therefore, the GCF of Fractions 1449/732,7966/8170 is 7/2990220
Least Common Multiple of 732,8170 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 732,8170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,8170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(732,8170) x common factors =2 x 1 = 2
LCM(732,8170) = ( 732 × 8170 ) / 2
LCM(732,8170) = 5980440 / 2
LCM(732,8170) = 2990220
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FAQs on GCF of Fractions of 1449/732, 7966/8170
1. What is the HCF of 1449,7966?
The HCF of 1449,7966 is 7
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 1449/732, 7966/8170?
Answer: GCF of Numerators as per given numbers 1449/732, 7966/8170 is
GCF of Numerators i.e. for 1449,7966 is 7
LCM of denominators i.e. for 732,8170 is 2990220.
Thus, GCF of Fractions is 7/2990220.Finally, GCF of Fractions for 1449/732, 7966/8170 is 7/2990220.