GCF of 4400/514, 1469/9164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4400/514, 1469/9164 i.e 1/2355148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4400/514, 1469/9164.
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 4400/514,1469/9164?
Given fractions are 4400/514,1469/9164
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 4400/514,1469/9164, numerators are 4400,1469
Denominators are 514,9164
The GCF of 4400,1469 is 1 .
LCM of 514,9164 is 2355148.
The greatest common factor of 4400/514,1469/9164 = [GCF of 4400,1469]/[LCM of 514,9164]= 1/2355148
Therefore, the GCF of 4400/514,1469/9164 is 1/2355148.
To find the highest common factor of 4400,1469, we have to find the factors of both numbers and list the highest common factor.
The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400
The factors of 1469 are 1, 13, 113, 1469
The HCF of 4400,1469 is 1.
Lets's calculate GCF of 4400,1469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4400,1469 By Matching Biggest Common Factor Method
Now, list down the factors of 4400
:1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400
Now, list down the factors of 1469
:1,13,113,1469
Greatest Common Factor
We found the factors 4400,1469 . The biggest common factor number is the GCF number.
So the greatest common factor 4400,1469 is 1.
Lets's calculate LCM of 514,9164
| 2 | 514, 9164 |
| 257, 4582 |
∴ So the LCM of the given numbers is 2 x 257 x 4582 = 2355148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2355148
Therefore, the GCF of Fractions 4400/514,1469/9164 is 1/2355148
Least Common Multiple of 514,9164 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 514,9164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,9164) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,9164) x common factors =2 x 1 = 2
LCM(514,9164) = ( 514 × 9164 ) / 2
LCM(514,9164) = 4710296 / 2
LCM(514,9164) = 2355148
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FAQs on GCF of Fractions of 4400/514, 1469/9164
1. What is the HCF of 4400,1469?
The HCF of 4400,1469 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 4400/514, 1469/9164?
Answer: GCF of Numerators as per given numbers 4400/514, 1469/9164 is
GCF of Numerators i.e. for 4400,1469 is 1
LCM of denominators i.e. for 514,9164 is 2355148.
Thus, GCF of Fractions is 1/2355148.Finally, GCF of Fractions for 4400/514, 1469/9164 is 1/2355148.