GCF of 1441/430, 7519/2810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1441/430, 7519/2810 i.e 1/120830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1441/430, 7519/2810.
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 1441/430,7519/2810?
Given fractions are 1441/430,7519/2810
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 1441/430,7519/2810, numerators are 1441,7519
Denominators are 430,2810
The GCF of 1441,7519 is 1 .
LCM of 430,2810 is 120830.
The greatest common factor of 1441/430,7519/2810 = [GCF of 1441,7519]/[LCM of 430,2810]= 1/120830
Therefore, the GCF of 1441/430,7519/2810 is 1/120830.
To find the highest common factor of 1441,7519, we have to find the factors of both numbers and list the highest common factor.
The factors of 1441 are 1, 11, 131, 1441
The factors of 7519 are 1, 73, 103, 7519
The HCF of 1441,7519 is 1.
Lets's calculate GCF of 1441,7519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1441,7519 By Matching Biggest Common Factor Method
Now, list down the factors of 1441
:1,11,131,1441
Now, list down the factors of 7519
:1,73,103,7519
Greatest Common Factor
We found the factors 1441,7519 . The biggest common factor number is the GCF number.
So the greatest common factor 1441,7519 is 1.
Lets's calculate LCM of 430,2810
| 2 | 430, 2810 |
| 5 | 215, 1405 |
| 43, 281 |
∴ So the LCM of the given numbers is 2 x 5 x 43 x 281 = 120830
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120830
Therefore, the GCF of Fractions 1441/430,7519/2810 is 1/120830
Least Common Multiple of 430,2810 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 430,2810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,2810) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(430,2810) x common factors =10 x 1 = 10
LCM(430,2810) = ( 430 × 2810 ) / 10
LCM(430,2810) = 1208300 / 10
LCM(430,2810) = 120830
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FAQs on GCF of Fractions of 1441/430, 7519/2810
1. What is the HCF of 1441,7519?
The HCF of 1441,7519 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 1441/430, 7519/2810?
Answer: GCF of Numerators as per given numbers 1441/430, 7519/2810 is
GCF of Numerators i.e. for 1441,7519 is 1
LCM of denominators i.e. for 430,2810 is 120830.
Thus, GCF of Fractions is 1/120830.Finally, GCF of Fractions for 1441/430, 7519/2810 is 1/120830.