GCF of 4051/431, 2488/5172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4051/431, 2488/5172 i.e 1/5172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4051/431, 2488/5172.
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 4051/431,2488/5172?
Given fractions are 4051/431,2488/5172
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 4051/431,2488/5172, numerators are 4051,2488
Denominators are 431,5172
The GCF of 4051,2488 is 1 .
LCM of 431,5172 is 5172.
The greatest common factor of 4051/431,2488/5172 = [GCF of 4051,2488]/[LCM of 431,5172]= 1/5172
Therefore, the GCF of 4051/431,2488/5172 is 1/5172.
To find the highest common factor of 4051,2488, we have to find the factors of both numbers and list the highest common factor.
The factors of 4051 are 1, 4051
The factors of 2488 are 1, 2, 4, 8, 311, 622, 1244, 2488
The HCF of 4051,2488 is 1.
Lets's calculate GCF of 4051,2488
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4051,2488 By Matching Biggest Common Factor Method
Now, list down the factors of 4051
:1,4051
Now, list down the factors of 2488
:1,2,4,8,311,622,1244,2488
Greatest Common Factor
We found the factors 4051,2488 . The biggest common factor number is the GCF number.
So the greatest common factor 4051,2488 is 1.
Lets's calculate LCM of 431,5172
| 431 | 431, 5172 |
| 1, 12 |
∴ So the LCM of the given numbers is 431 x 1 x 12 = 5172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5172
Therefore, the GCF of Fractions 4051/431,2488/5172 is 1/5172
Least Common Multiple of 431,5172 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 431,5172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,5172) = 431
common factors(in case of two or more numbers have common factors) = 1
GCF(431,5172) x common factors =431 x 1 = 431
LCM(431,5172) = ( 431 × 5172 ) / 431
LCM(431,5172) = 2229132 / 431
LCM(431,5172) = 5172
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FAQs on GCF of Fractions of 4051/431, 2488/5172
1. What is the HCF of 4051,2488?
The HCF of 4051,2488 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 4051/431, 2488/5172?
Answer: GCF of Numerators as per given numbers 4051/431, 2488/5172 is
GCF of Numerators i.e. for 4051,2488 is 1
LCM of denominators i.e. for 431,5172 is 5172.
Thus, GCF of Fractions is 1/5172.Finally, GCF of Fractions for 4051/431, 2488/5172 is 1/5172.