GCF of 5815/300, 7051/3084
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5815/300, 7051/3084 i.e 1/77100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5815/300, 7051/3084.
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 5815/300,7051/3084?
Given fractions are 5815/300,7051/3084
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 5815/300,7051/3084, numerators are 5815,7051
Denominators are 300,3084
The GCF of 5815,7051 is 1 .
LCM of 300,3084 is 77100.
The greatest common factor of 5815/300,7051/3084 = [GCF of 5815,7051]/[LCM of 300,3084]= 1/77100
Therefore, the GCF of 5815/300,7051/3084 is 1/77100.
To find the highest common factor of 5815,7051, we have to find the factors of both numbers and list the highest common factor.
The factors of 5815 are 1, 5, 1163, 5815
The factors of 7051 are 1, 11, 641, 7051
The HCF of 5815,7051 is 1.
Lets's calculate GCF of 5815,7051
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5815,7051 By Matching Biggest Common Factor Method
Now, list down the factors of 5815
:1,5,1163,5815
Now, list down the factors of 7051
:1,11,641,7051
Greatest Common Factor
We found the factors 5815,7051 . The biggest common factor number is the GCF number.
So the greatest common factor 5815,7051 is 1.
Lets's calculate LCM of 300,3084
| 2 | 300, 3084 |
| 2 | 150, 1542 |
| 3 | 75, 771 |
| 25, 257 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 25 x 257 = 77100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77100
Therefore, the GCF of Fractions 5815/300,7051/3084 is 1/77100
Least Common Multiple of 300,3084 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 300,3084 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,3084) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(300,3084) x common factors =12 x 1 = 12
LCM(300,3084) = ( 300 × 3084 ) / 12
LCM(300,3084) = 925200 / 12
LCM(300,3084) = 77100
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FAQs on GCF of Fractions of 5815/300, 7051/3084
1. What is the HCF of 5815,7051?
The HCF of 5815,7051 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 5815/300, 7051/3084?
Answer: GCF of Numerators as per given numbers 5815/300, 7051/3084 is
GCF of Numerators i.e. for 5815,7051 is 1
LCM of denominators i.e. for 300,3084 is 77100.
Thus, GCF of Fractions is 1/77100.Finally, GCF of Fractions for 5815/300, 7051/3084 is 1/77100.