GCF of 1671/431, 4774/1179
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1671/431, 4774/1179 i.e 1/508149 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1671/431, 4774/1179.
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 1671/431,4774/1179?
Given fractions are 1671/431,4774/1179
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 1671/431,4774/1179, numerators are 1671,4774
Denominators are 431,1179
The GCF of 1671,4774 is 1 .
LCM of 431,1179 is 508149.
The greatest common factor of 1671/431,4774/1179 = [GCF of 1671,4774]/[LCM of 431,1179]= 1/508149
Therefore, the GCF of 1671/431,4774/1179 is 1/508149.
To find the highest common factor of 1671,4774, we have to find the factors of both numbers and list the highest common factor.
The factors of 1671 are 1, 3, 557, 1671
The factors of 4774 are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774
The HCF of 1671,4774 is 1.
Lets's calculate GCF of 1671,4774
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1671,4774 By Matching Biggest Common Factor Method
Now, list down the factors of 1671
:1,3,557,1671
Now, list down the factors of 4774
:1,2,7,11,14,22,31,62,77,154,217,341,434,682,2387,4774
Greatest Common Factor
We found the factors 1671,4774 . The biggest common factor number is the GCF number.
So the greatest common factor 1671,4774 is 1.
Lets's calculate LCM of 431,1179
Given numbers has no common factors except 1. So, there LCM is their product i.e 508149
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/508149
Therefore, the GCF of Fractions 1671/431,4774/1179 is 1/508149
Least Common Multiple of 431,1179 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 431,1179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,1179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,1179) x common factors =1 x 1 = 1
LCM(431,1179) = ( 431 × 1179 ) / 1
LCM(431,1179) = 508149 / 1
LCM(431,1179) = 508149
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FAQs on GCF of Fractions of 1671/431, 4774/1179
1. What is the HCF of 1671,4774?
The HCF of 1671,4774 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 1671/431, 4774/1179?
Answer: GCF of Numerators as per given numbers 1671/431, 4774/1179 is
GCF of Numerators i.e. for 1671,4774 is 1
LCM of denominators i.e. for 431,1179 is 508149.
Thus, GCF of Fractions is 1/508149.Finally, GCF of Fractions for 1671/431, 4774/1179 is 1/508149.