GCF of 7409/831, 1440/1468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7409/831, 1440/1468 i.e 1/1219908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7409/831, 1440/1468.
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 7409/831,1440/1468?
Given fractions are 7409/831,1440/1468
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 7409/831,1440/1468, numerators are 7409,1440
Denominators are 831,1468
The GCF of 7409,1440 is 1 .
LCM of 831,1468 is 1219908.
The greatest common factor of 7409/831,1440/1468 = [GCF of 7409,1440]/[LCM of 831,1468]= 1/1219908
Therefore, the GCF of 7409/831,1440/1468 is 1/1219908.
To find the highest common factor of 7409,1440, we have to find the factors of both numbers and list the highest common factor.
The factors of 7409 are 1, 31, 239, 7409
The factors of 1440 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440
The HCF of 7409,1440 is 1.
Lets's calculate GCF of 7409,1440
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7409,1440 By Matching Biggest Common Factor Method
Now, list down the factors of 7409
:1,31,239,7409
Now, list down the factors of 1440
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,72,80,90,96,120,144,160,180,240,288,360,480,720,1440
Greatest Common Factor
We found the factors 7409,1440 . The biggest common factor number is the GCF number.
So the greatest common factor 7409,1440 is 1.
Lets's calculate LCM of 831,1468
Given numbers has no common factors except 1. So, there LCM is their product i.e 1219908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1219908
Therefore, the GCF of Fractions 7409/831,1440/1468 is 1/1219908
Least Common Multiple of 831,1468 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 831,1468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(831,1468) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(831,1468) x common factors =1 x 1 = 1
LCM(831,1468) = ( 831 × 1468 ) / 1
LCM(831,1468) = 1219908 / 1
LCM(831,1468) = 1219908
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7409/831, 1440/1468
1. What is the HCF of 7409,1440?
The HCF of 7409,1440 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 7409/831, 1440/1468?
Answer: GCF of Numerators as per given numbers 7409/831, 1440/1468 is
GCF of Numerators i.e. for 7409,1440 is 1
LCM of denominators i.e. for 831,1468 is 1219908.
Thus, GCF of Fractions is 1/1219908.Finally, GCF of Fractions for 7409/831, 1440/1468 is 1/1219908.