GCF of 4673/720, 9468/3743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4673/720, 9468/3743 i.e 1/2694960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4673/720, 9468/3743.
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 4673/720,9468/3743?
Given fractions are 4673/720,9468/3743
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 4673/720,9468/3743, numerators are 4673,9468
Denominators are 720,3743
The GCF of 4673,9468 is 1 .
LCM of 720,3743 is 2694960.
The greatest common factor of 4673/720,9468/3743 = [GCF of 4673,9468]/[LCM of 720,3743]= 1/2694960
Therefore, the GCF of 4673/720,9468/3743 is 1/2694960.
To find the highest common factor of 4673,9468, we have to find the factors of both numbers and list the highest common factor.
The factors of 4673 are 1, 4673
The factors of 9468 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468
The HCF of 4673,9468 is 1.
Lets's calculate GCF of 4673,9468
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4673,9468 By Matching Biggest Common Factor Method
Now, list down the factors of 4673
:1,4673
Now, list down the factors of 9468
:1,2,3,4,6,9,12,18,36,263,526,789,1052,1578,2367,3156,4734,9468
Greatest Common Factor
We found the factors 4673,9468 . The biggest common factor number is the GCF number.
So the greatest common factor 4673,9468 is 1.
Lets's calculate LCM of 720,3743
Given numbers has no common factors except 1. So, there LCM is their product i.e 2694960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2694960
Therefore, the GCF of Fractions 4673/720,9468/3743 is 1/2694960
Least Common Multiple of 720,3743 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 720,3743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,3743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(720,3743) x common factors =1 x 1 = 1
LCM(720,3743) = ( 720 × 3743 ) / 1
LCM(720,3743) = 2694960 / 1
LCM(720,3743) = 2694960
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FAQs on GCF of Fractions of 4673/720, 9468/3743
1. What is the HCF of 4673,9468?
The HCF of 4673,9468 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 4673/720, 9468/3743?
Answer: GCF of Numerators as per given numbers 4673/720, 9468/3743 is
GCF of Numerators i.e. for 4673,9468 is 1
LCM of denominators i.e. for 720,3743 is 2694960.
Thus, GCF of Fractions is 1/2694960.Finally, GCF of Fractions for 4673/720, 9468/3743 is 1/2694960.