GCF of 4259/906, 3162/307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4259/906, 3162/307 i.e 1/278142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4259/906, 3162/307.
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 4259/906,3162/307?
Given fractions are 4259/906,3162/307
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 4259/906,3162/307, numerators are 4259,3162
Denominators are 906,307
The GCF of 4259,3162 is 1 .
LCM of 906,307 is 278142.
The greatest common factor of 4259/906,3162/307 = [GCF of 4259,3162]/[LCM of 906,307]= 1/278142
Therefore, the GCF of 4259/906,3162/307 is 1/278142.
To find the highest common factor of 4259,3162, we have to find the factors of both numbers and list the highest common factor.
The factors of 4259 are 1, 4259
The factors of 3162 are 1, 2, 3, 6, 17, 31, 34, 51, 62, 93, 102, 186, 527, 1054, 1581, 3162
The HCF of 4259,3162 is 1.
Lets's calculate GCF of 4259,3162
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4259,3162 By Matching Biggest Common Factor Method
Now, list down the factors of 4259
:1,4259
Now, list down the factors of 3162
:1,2,3,6,17,31,34,51,62,93,102,186,527,1054,1581,3162
Greatest Common Factor
We found the factors 4259,3162 . The biggest common factor number is the GCF number.
So the greatest common factor 4259,3162 is 1.
Lets's calculate LCM of 906,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 278142
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278142
Therefore, the GCF of Fractions 4259/906,3162/307 is 1/278142
Least Common Multiple of 906,307 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 906,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(906,307) x common factors =1 x 1 = 1
LCM(906,307) = ( 906 × 307 ) / 1
LCM(906,307) = 278142 / 1
LCM(906,307) = 278142
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FAQs on GCF of Fractions of 4259/906, 3162/307
1. What is the HCF of 4259,3162?
The HCF of 4259,3162 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 4259/906, 3162/307?
Answer: GCF of Numerators as per given numbers 4259/906, 3162/307 is
GCF of Numerators i.e. for 4259,3162 is 1
LCM of denominators i.e. for 906,307 is 278142.
Thus, GCF of Fractions is 1/278142.Finally, GCF of Fractions for 4259/906, 3162/307 is 1/278142.