GCF of 2259/462, 5120/7048
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2259/462, 5120/7048 i.e 1/1628088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2259/462, 5120/7048.
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 2259/462,5120/7048?
Given fractions are 2259/462,5120/7048
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 2259/462,5120/7048, numerators are 2259,5120
Denominators are 462,7048
The GCF of 2259,5120 is 1 .
LCM of 462,7048 is 1628088.
The greatest common factor of 2259/462,5120/7048 = [GCF of 2259,5120]/[LCM of 462,7048]= 1/1628088
Therefore, the GCF of 2259/462,5120/7048 is 1/1628088.
To find the highest common factor of 2259,5120, we have to find the factors of both numbers and list the highest common factor.
The factors of 2259 are 1, 3, 9, 251, 753, 2259
The factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120
The HCF of 2259,5120 is 1.
Lets's calculate GCF of 2259,5120
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2259,5120 By Matching Biggest Common Factor Method
Now, list down the factors of 2259
:1,3,9,251,753,2259
Now, list down the factors of 5120
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120
Greatest Common Factor
We found the factors 2259,5120 . The biggest common factor number is the GCF number.
So the greatest common factor 2259,5120 is 1.
Lets's calculate LCM of 462,7048
| 2 | 462, 7048 |
| 231, 3524 |
∴ So the LCM of the given numbers is 2 x 231 x 3524 = 1628088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1628088
Therefore, the GCF of Fractions 2259/462,5120/7048 is 1/1628088
Least Common Multiple of 462,7048 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 462,7048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,7048) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(462,7048) x common factors =2 x 1 = 2
LCM(462,7048) = ( 462 × 7048 ) / 2
LCM(462,7048) = 3256176 / 2
LCM(462,7048) = 1628088
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FAQs on GCF of Fractions of 2259/462, 5120/7048
1. What is the HCF of 2259,5120?
The HCF of 2259,5120 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 2259/462, 5120/7048?
Answer: GCF of Numerators as per given numbers 2259/462, 5120/7048 is
GCF of Numerators i.e. for 2259,5120 is 1
LCM of denominators i.e. for 462,7048 is 1628088.
Thus, GCF of Fractions is 1/1628088.Finally, GCF of Fractions for 2259/462, 5120/7048 is 1/1628088.