GCF of 1480/494, 4029/2256
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1480/494, 4029/2256 i.e 1/557232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1480/494, 4029/2256.
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 1480/494,4029/2256?
Given fractions are 1480/494,4029/2256
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 1480/494,4029/2256, numerators are 1480,4029
Denominators are 494,2256
The GCF of 1480,4029 is 1 .
LCM of 494,2256 is 557232.
The greatest common factor of 1480/494,4029/2256 = [GCF of 1480,4029]/[LCM of 494,2256]= 1/557232
Therefore, the GCF of 1480/494,4029/2256 is 1/557232.
To find the highest common factor of 1480,4029, we have to find the factors of both numbers and list the highest common factor.
The factors of 1480 are 1, 2, 4, 5, 8, 10, 20, 37, 40, 74, 148, 185, 296, 370, 740, 1480
The factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029
The HCF of 1480,4029 is 1.
Lets's calculate GCF of 1480,4029
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1480,4029 By Matching Biggest Common Factor Method
Now, list down the factors of 1480
:1,2,4,5,8,10,20,37,40,74,148,185,296,370,740,1480
Now, list down the factors of 4029
:1,3,17,51,79,237,1343,4029
Greatest Common Factor
We found the factors 1480,4029 . The biggest common factor number is the GCF number.
So the greatest common factor 1480,4029 is 1.
Lets's calculate LCM of 494,2256
| 2 | 494, 2256 |
| 247, 1128 |
∴ So the LCM of the given numbers is 2 x 247 x 1128 = 557232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/557232
Therefore, the GCF of Fractions 1480/494,4029/2256 is 1/557232
Least Common Multiple of 494,2256 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 494,2256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,2256) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,2256) x common factors =2 x 1 = 2
LCM(494,2256) = ( 494 × 2256 ) / 2
LCM(494,2256) = 1114464 / 2
LCM(494,2256) = 557232
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FAQs on GCF of Fractions of 1480/494, 4029/2256
1. What is the HCF of 1480,4029?
The HCF of 1480,4029 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 1480/494, 4029/2256?
Answer: GCF of Numerators as per given numbers 1480/494, 4029/2256 is
GCF of Numerators i.e. for 1480,4029 is 1
LCM of denominators i.e. for 494,2256 is 557232.
Thus, GCF of Fractions is 1/557232.Finally, GCF of Fractions for 1480/494, 4029/2256 is 1/557232.