GCF of 4430/512, 7767/3383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4430/512, 7767/3383 i.e 1/1732096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4430/512, 7767/3383.
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 4430/512,7767/3383?
Given fractions are 4430/512,7767/3383
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 4430/512,7767/3383, numerators are 4430,7767
Denominators are 512,3383
The GCF of 4430,7767 is 1 .
LCM of 512,3383 is 1732096.
The greatest common factor of 4430/512,7767/3383 = [GCF of 4430,7767]/[LCM of 512,3383]= 1/1732096
Therefore, the GCF of 4430/512,7767/3383 is 1/1732096.
To find the highest common factor of 4430,7767, we have to find the factors of both numbers and list the highest common factor.
The factors of 4430 are 1, 2, 5, 10, 443, 886, 2215, 4430
The factors of 7767 are 1, 3, 9, 863, 2589, 7767
The HCF of 4430,7767 is 1.
Lets's calculate GCF of 4430,7767
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4430,7767 By Matching Biggest Common Factor Method
Now, list down the factors of 4430
:1,2,5,10,443,886,2215,4430
Now, list down the factors of 7767
:1,3,9,863,2589,7767
Greatest Common Factor
We found the factors 4430,7767 . The biggest common factor number is the GCF number.
So the greatest common factor 4430,7767 is 1.
Lets's calculate LCM of 512,3383
Given numbers has no common factors except 1. So, there LCM is their product i.e 1732096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1732096
Therefore, the GCF of Fractions 4430/512,7767/3383 is 1/1732096
Least Common Multiple of 512,3383 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 512,3383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,3383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,3383) x common factors =1 x 1 = 1
LCM(512,3383) = ( 512 × 3383 ) / 1
LCM(512,3383) = 1732096 / 1
LCM(512,3383) = 1732096
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FAQs on GCF of Fractions of 4430/512, 7767/3383
1. What is the HCF of 4430,7767?
The HCF of 4430,7767 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 4430/512, 7767/3383?
Answer: GCF of Numerators as per given numbers 4430/512, 7767/3383 is
GCF of Numerators i.e. for 4430,7767 is 1
LCM of denominators i.e. for 512,3383 is 1732096.
Thus, GCF of Fractions is 1/1732096.Finally, GCF of Fractions for 4430/512, 7767/3383 is 1/1732096.