GCF of 7007/960, 1449/2047
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7007/960, 1449/2047 i.e 7/1965120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7007/960, 1449/2047.
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 7007/960,1449/2047?
Given fractions are 7007/960,1449/2047
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 7007/960,1449/2047, numerators are 7007,1449
Denominators are 960,2047
The GCF of 7007,1449 is 7 .
LCM of 960,2047 is 1965120.
The greatest common factor of 7007/960,1449/2047 = [GCF of 7007,1449]/[LCM of 960,2047]= 7/1965120
Therefore, the GCF of 7007/960,1449/2047 is 7/1965120.
To find the highest common factor of 7007,1449, we have to find the factors of both numbers and list the highest common factor.
The factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007
The factors of 1449 are 1, 3, 7, 9, 21, 23, 63, 69, 161, 207, 483, 1449
The HCF of 7007,1449 is 7.
Lets's calculate GCF of 7007,1449
| 7 | 7007, 1449 |
| 1001, 207 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7007,1449 By Matching Biggest Common Factor Method
Now, list down the factors of 7007
:1,7,11,13,49,77,91,143,539,637,1001,7007
Now, list down the factors of 1449
:1,3,7,9,21,23,63,69,161,207,483,1449
Greatest Common Factor
We found the factors 7007,1449 . The biggest common factor number is the GCF number.
So the greatest common factor 7007,1449 is 7.
Lets's calculate LCM of 960,2047
Given numbers has no common factors except 1. So, there LCM is their product i.e 1965120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1965120
Therefore, the GCF of Fractions 7007/960,1449/2047 is 7/1965120
Least Common Multiple of 960,2047 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 960,2047 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,2047) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(960,2047) x common factors =1 x 1 = 1
LCM(960,2047) = ( 960 × 2047 ) / 1
LCM(960,2047) = 1965120 / 1
LCM(960,2047) = 1965120
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FAQs on GCF of Fractions of 7007/960, 1449/2047
1. What is the HCF of 7007,1449?
The HCF of 7007,1449 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 7007/960, 1449/2047?
Answer: GCF of Numerators as per given numbers 7007/960, 1449/2047 is
GCF of Numerators i.e. for 7007,1449 is 7
LCM of denominators i.e. for 960,2047 is 1965120.
Thus, GCF of Fractions is 7/1965120.Finally, GCF of Fractions for 7007/960, 1449/2047 is 7/1965120.