GCF of 4511/431, 4967/7176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4511/431, 4967/7176 i.e 1/3092856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4511/431, 4967/7176.
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 4511/431,4967/7176?
Given fractions are 4511/431,4967/7176
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 4511/431,4967/7176, numerators are 4511,4967
Denominators are 431,7176
The GCF of 4511,4967 is 1 .
LCM of 431,7176 is 3092856.
The greatest common factor of 4511/431,4967/7176 = [GCF of 4511,4967]/[LCM of 431,7176]= 1/3092856
Therefore, the GCF of 4511/431,4967/7176 is 1/3092856.
To find the highest common factor of 4511,4967, we have to find the factors of both numbers and list the highest common factor.
The factors of 4511 are 1, 13, 347, 4511
The factors of 4967 are 1, 4967
The HCF of 4511,4967 is 1.
Lets's calculate GCF of 4511,4967
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4511,4967 By Matching Biggest Common Factor Method
Now, list down the factors of 4511
:1,13,347,4511
Now, list down the factors of 4967
:1,4967
Greatest Common Factor
We found the factors 4511,4967 . The biggest common factor number is the GCF number.
So the greatest common factor 4511,4967 is 1.
Lets's calculate LCM of 431,7176
Given numbers has no common factors except 1. So, there LCM is their product i.e 3092856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3092856
Therefore, the GCF of Fractions 4511/431,4967/7176 is 1/3092856
Least Common Multiple of 431,7176 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 431,7176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,7176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,7176) x common factors =1 x 1 = 1
LCM(431,7176) = ( 431 × 7176 ) / 1
LCM(431,7176) = 3092856 / 1
LCM(431,7176) = 3092856
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FAQs on GCF of Fractions of 4511/431, 4967/7176
1. What is the HCF of 4511,4967?
The HCF of 4511,4967 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 4511/431, 4967/7176?
Answer: GCF of Numerators as per given numbers 4511/431, 4967/7176 is
GCF of Numerators i.e. for 4511,4967 is 1
LCM of denominators i.e. for 431,7176 is 3092856.
Thus, GCF of Fractions is 1/3092856.Finally, GCF of Fractions for 4511/431, 4967/7176 is 1/3092856.