GCF of 4489/682, 9456/7632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4489/682, 9456/7632 i.e 1/2602512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4489/682, 9456/7632.
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 4489/682,9456/7632?
Given fractions are 4489/682,9456/7632
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 4489/682,9456/7632, numerators are 4489,9456
Denominators are 682,7632
The GCF of 4489,9456 is 1 .
LCM of 682,7632 is 2602512.
The greatest common factor of 4489/682,9456/7632 = [GCF of 4489,9456]/[LCM of 682,7632]= 1/2602512
Therefore, the GCF of 4489/682,9456/7632 is 1/2602512.
To find the highest common factor of 4489,9456, we have to find the factors of both numbers and list the highest common factor.
The factors of 4489 are 1, 67, 4489
The factors of 9456 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 197, 394, 591, 788, 1182, 1576, 2364, 3152, 4728, 9456
The HCF of 4489,9456 is 1.
Lets's calculate GCF of 4489,9456
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4489,9456 By Matching Biggest Common Factor Method
Now, list down the factors of 4489
:1,67,4489
Now, list down the factors of 9456
:1,2,3,4,6,8,12,16,24,48,197,394,591,788,1182,1576,2364,3152,4728,9456
Greatest Common Factor
We found the factors 4489,9456 . The biggest common factor number is the GCF number.
So the greatest common factor 4489,9456 is 1.
Lets's calculate LCM of 682,7632
| 2 | 682, 7632 |
| 341, 3816 |
∴ So the LCM of the given numbers is 2 x 341 x 3816 = 2602512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2602512
Therefore, the GCF of Fractions 4489/682,9456/7632 is 1/2602512
Least Common Multiple of 682,7632 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 682,7632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,7632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(682,7632) x common factors =2 x 1 = 2
LCM(682,7632) = ( 682 × 7632 ) / 2
LCM(682,7632) = 5205024 / 2
LCM(682,7632) = 2602512
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4489/682, 9456/7632
1. What is the HCF of 4489,9456?
The HCF of 4489,9456 is 1
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 4489/682, 9456/7632?
Answer: GCF of Numerators as per given numbers 4489/682, 9456/7632 is
GCF of Numerators i.e. for 4489,9456 is 1
LCM of denominators i.e. for 682,7632 is 2602512.
Thus, GCF of Fractions is 1/2602512.Finally, GCF of Fractions for 4489/682, 9456/7632 is 1/2602512.