GCF of 1457/320, 1059/2844
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1457/320, 1059/2844 i.e 1/227520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1457/320, 1059/2844.
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 1457/320,1059/2844?
Given fractions are 1457/320,1059/2844
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 1457/320,1059/2844, numerators are 1457,1059
Denominators are 320,2844
The GCF of 1457,1059 is 1 .
LCM of 320,2844 is 227520.
The greatest common factor of 1457/320,1059/2844 = [GCF of 1457,1059]/[LCM of 320,2844]= 1/227520
Therefore, the GCF of 1457/320,1059/2844 is 1/227520.
To find the highest common factor of 1457,1059, we have to find the factors of both numbers and list the highest common factor.
The factors of 1457 are 1, 31, 47, 1457
The factors of 1059 are 1, 3, 353, 1059
The HCF of 1457,1059 is 1.
Lets's calculate GCF of 1457,1059
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1457,1059 By Matching Biggest Common Factor Method
Now, list down the factors of 1457
:1,31,47,1457
Now, list down the factors of 1059
:1,3,353,1059
Greatest Common Factor
We found the factors 1457,1059 . The biggest common factor number is the GCF number.
So the greatest common factor 1457,1059 is 1.
Lets's calculate LCM of 320,2844
| 2 | 320, 2844 |
| 2 | 160, 1422 |
| 80, 711 |
∴ So the LCM of the given numbers is 2 x 2 x 80 x 711 = 227520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227520
Therefore, the GCF of Fractions 1457/320,1059/2844 is 1/227520
Least Common Multiple of 320,2844 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 320,2844 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,2844) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(320,2844) x common factors =4 x 1 = 4
LCM(320,2844) = ( 320 × 2844 ) / 4
LCM(320,2844) = 910080 / 4
LCM(320,2844) = 227520
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FAQs on GCF of Fractions of 1457/320, 1059/2844
1. What is the HCF of 1457,1059?
The HCF of 1457,1059 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 1457/320, 1059/2844?
Answer: GCF of Numerators as per given numbers 1457/320, 1059/2844 is
GCF of Numerators i.e. for 1457,1059 is 1
LCM of denominators i.e. for 320,2844 is 227520.
Thus, GCF of Fractions is 1/227520.Finally, GCF of Fractions for 1457/320, 1059/2844 is 1/227520.