GCF of 1057/431, 5229/5712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1057/431, 5229/5712 i.e 7/2461872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1057/431, 5229/5712.
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 1057/431,5229/5712?
Given fractions are 1057/431,5229/5712
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 1057/431,5229/5712, numerators are 1057,5229
Denominators are 431,5712
The GCF of 1057,5229 is 7 .
LCM of 431,5712 is 2461872.
The greatest common factor of 1057/431,5229/5712 = [GCF of 1057,5229]/[LCM of 431,5712]= 7/2461872
Therefore, the GCF of 1057/431,5229/5712 is 7/2461872.
To find the highest common factor of 1057,5229, we have to find the factors of both numbers and list the highest common factor.
The factors of 1057 are 1, 7, 151, 1057
The factors of 5229 are 1, 3, 7, 9, 21, 63, 83, 249, 581, 747, 1743, 5229
The HCF of 1057,5229 is 7.
Lets's calculate GCF of 1057,5229
| 7 | 1057, 5229 |
| 151, 747 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1057,5229 By Matching Biggest Common Factor Method
Now, list down the factors of 1057
:1,7,151,1057
Now, list down the factors of 5229
:1,3,7,9,21,63,83,249,581,747,1743,5229
Greatest Common Factor
We found the factors 1057,5229 . The biggest common factor number is the GCF number.
So the greatest common factor 1057,5229 is 7.
Lets's calculate LCM of 431,5712
Given numbers has no common factors except 1. So, there LCM is their product i.e 2461872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2461872
Therefore, the GCF of Fractions 1057/431,5229/5712 is 7/2461872
Least Common Multiple of 431,5712 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 431,5712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,5712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,5712) x common factors =1 x 1 = 1
LCM(431,5712) = ( 431 × 5712 ) / 1
LCM(431,5712) = 2461872 / 1
LCM(431,5712) = 2461872
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FAQs on GCF of Fractions of 1057/431, 5229/5712
1. What is the HCF of 1057,5229?
The HCF of 1057,5229 is 7
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 1057/431, 5229/5712?
Answer: GCF of Numerators as per given numbers 1057/431, 5229/5712 is
GCF of Numerators i.e. for 1057,5229 is 7
LCM of denominators i.e. for 431,5712 is 2461872.
Thus, GCF of Fractions is 7/2461872.Finally, GCF of Fractions for 1057/431, 5229/5712 is 7/2461872.