GCF of 7057/430, 4590/2024
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7057/430, 4590/2024 i.e 1/435160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7057/430, 4590/2024.
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 7057/430,4590/2024?
Given fractions are 7057/430,4590/2024
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 7057/430,4590/2024, numerators are 7057,4590
Denominators are 430,2024
The GCF of 7057,4590 is 1 .
LCM of 430,2024 is 435160.
The greatest common factor of 7057/430,4590/2024 = [GCF of 7057,4590]/[LCM of 430,2024]= 1/435160
Therefore, the GCF of 7057/430,4590/2024 is 1/435160.
To find the highest common factor of 7057,4590, we have to find the factors of both numbers and list the highest common factor.
The factors of 7057 are 1, 7057
The factors of 4590 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590
The HCF of 7057,4590 is 1.
Lets's calculate GCF of 7057,4590
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7057,4590 By Matching Biggest Common Factor Method
Now, list down the factors of 7057
:1,7057
Now, list down the factors of 4590
:1,2,3,5,6,9,10,15,17,18,27,30,34,45,51,54,85,90,102,135,153,170,255,270,306,459,510,765,918,1530,2295,4590
Greatest Common Factor
We found the factors 7057,4590 . The biggest common factor number is the GCF number.
So the greatest common factor 7057,4590 is 1.
Lets's calculate LCM of 430,2024
| 2 | 430, 2024 |
| 215, 1012 |
∴ So the LCM of the given numbers is 2 x 215 x 1012 = 435160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435160
Therefore, the GCF of Fractions 7057/430,4590/2024 is 1/435160
Least Common Multiple of 430,2024 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 430,2024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,2024) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(430,2024) x common factors =2 x 1 = 2
LCM(430,2024) = ( 430 × 2024 ) / 2
LCM(430,2024) = 870320 / 2
LCM(430,2024) = 435160
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FAQs on GCF of Fractions of 7057/430, 4590/2024
1. What is the HCF of 7057,4590?
The HCF of 7057,4590 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 7057/430, 4590/2024?
Answer: GCF of Numerators as per given numbers 7057/430, 4590/2024 is
GCF of Numerators i.e. for 7057,4590 is 1
LCM of denominators i.e. for 430,2024 is 435160.
Thus, GCF of Fractions is 1/435160.Finally, GCF of Fractions for 7057/430, 4590/2024 is 1/435160.