GCF of 1449/766, 9614/652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1449/766, 9614/652 i.e 23/249716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1449/766, 9614/652.
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 1449/766,9614/652?
Given fractions are 1449/766,9614/652
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 1449/766,9614/652, numerators are 1449,9614
Denominators are 766,652
The GCF of 1449,9614 is 23 .
LCM of 766,652 is 249716.
The greatest common factor of 1449/766,9614/652 = [GCF of 1449,9614]/[LCM of 766,652]= 23/249716
Therefore, the GCF of 1449/766,9614/652 is 23/249716.
To find the highest common factor of 1449,9614, 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 9614 are 1, 2, 11, 19, 22, 23, 38, 46, 209, 253, 418, 437, 506, 874, 4807, 9614
The HCF of 1449,9614 is 23.
Lets's calculate GCF of 1449,9614
| 23 | 1449, 9614 |
| 63, 418 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 1449,9614 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 9614
:1,2,11,19,22,23,38,46,209,253,418,437,506,874,4807,9614
Greatest Common Factor
We found the factors 1449,9614 . The biggest common factor number is the GCF number.
So the greatest common factor 1449,9614 is 23.
Lets's calculate LCM of 766,652
| 2 | 766, 652 |
| 383, 326 |
∴ So the LCM of the given numbers is 2 x 383 x 326 = 249716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/249716
Therefore, the GCF of Fractions 1449/766,9614/652 is 23/249716
Least Common Multiple of 766,652 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 766,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,652) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,652) x common factors =2 x 1 = 2
LCM(766,652) = ( 766 × 652 ) / 2
LCM(766,652) = 499432 / 2
LCM(766,652) = 249716
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FAQs on GCF of Fractions of 1449/766, 9614/652
1. What is the HCF of 1449,9614?
The HCF of 1449,9614 is 23
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 1449/766, 9614/652?
Answer: GCF of Numerators as per given numbers 1449/766, 9614/652 is
GCF of Numerators i.e. for 1449,9614 is 23
LCM of denominators i.e. for 766,652 is 249716.
Thus, GCF of Fractions is 23/249716.Finally, GCF of Fractions for 1449/766, 9614/652 is 23/249716.