GCF of 5413/284, 2945/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5413/284, 2945/368 i.e 1/26128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5413/284, 2945/368.
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 5413/284,2945/368?
Given fractions are 5413/284,2945/368
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 5413/284,2945/368, numerators are 5413,2945
Denominators are 284,368
The GCF of 5413,2945 is 1 .
LCM of 284,368 is 26128.
The greatest common factor of 5413/284,2945/368 = [GCF of 5413,2945]/[LCM of 284,368]= 1/26128
Therefore, the GCF of 5413/284,2945/368 is 1/26128.
To find the highest common factor of 5413,2945, we have to find the factors of both numbers and list the highest common factor.
The factors of 5413 are 1, 5413
The factors of 2945 are 1, 5, 19, 31, 95, 155, 589, 2945
The HCF of 5413,2945 is 1.
Lets's calculate GCF of 5413,2945
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5413,2945 By Matching Biggest Common Factor Method
Now, list down the factors of 5413
:1,5413
Now, list down the factors of 2945
:1,5,19,31,95,155,589,2945
Greatest Common Factor
We found the factors 5413,2945 . The biggest common factor number is the GCF number.
So the greatest common factor 5413,2945 is 1.
Lets's calculate LCM of 284,368
| 2 | 284, 368 |
| 2 | 142, 184 |
| 71, 92 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 92 = 26128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26128
Therefore, the GCF of Fractions 5413/284,2945/368 is 1/26128
Least Common Multiple of 284,368 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 284,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,368) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,368) x common factors =4 x 1 = 4
LCM(284,368) = ( 284 × 368 ) / 4
LCM(284,368) = 104512 / 4
LCM(284,368) = 26128
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FAQs on GCF of Fractions of 5413/284, 2945/368
1. What is the HCF of 5413,2945?
The HCF of 5413,2945 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 5413/284, 2945/368?
Answer: GCF of Numerators as per given numbers 5413/284, 2945/368 is
GCF of Numerators i.e. for 5413,2945 is 1
LCM of denominators i.e. for 284,368 is 26128.
Thus, GCF of Fractions is 1/26128.Finally, GCF of Fractions for 5413/284, 2945/368 is 1/26128.